diff --git a/.changeset/famous-bobcats-remain.md b/.changeset/famous-bobcats-remain.md
new file mode 100644
index 0000000000..6943eb7e56
--- /dev/null
+++ b/.changeset/famous-bobcats-remain.md
@@ -0,0 +1,5 @@
+---
+'@backstage/eslint-plugin': patch
+---
+
+Internal refactor to deal with `estree` upgrade
diff --git a/packages/eslint-plugin/rules/no-top-level-material-ui-4-imports.js b/packages/eslint-plugin/rules/no-top-level-material-ui-4-imports.js
index 78fd3d63e9..6e0ba9ee87 100644
--- a/packages/eslint-plugin/rules/no-top-level-material-ui-4-imports.js
+++ b/packages/eslint-plugin/rules/no-top-level-material-ui-4-imports.js
@@ -80,11 +80,14 @@ const KNOWN_STYLES = [
 
 /**
  * filter function to keep only ImportSpecifier nodes
- * @param {import('estree').ImportSpecifier | import('estree').ImportDefaultSpecifier| import('estree').ImportNamespaceSpecifier} specifier
+ * @param {import('estree').ImportSpecifier | import('estree').ImportDefaultSpecifier | import('estree').ImportNamespaceSpecifier} specifier
  * @returns {specifier is import('estree').ImportSpecifier}
  */
 function importSpecifiersFilter(specifier) {
-  return specifier.type === 'ImportSpecifier';
+  return (
+    specifier.type === 'ImportSpecifier' &&
+    specifier.imported.type !== 'Literal'
+  );
 }
 
 /**
@@ -146,12 +149,16 @@ module.exports = {
 
           const specifiers = node.specifiers.filter(importSpecifiersFilter);
 
-          const specifiersMap = specifiers.map(
+          const specifiersMap = specifiers.flatMap(
             /**
              * transform ImportSpecifier to FixerValues to have a simpler object to work with
-             * @returns {FixerValues}
+             * @returns {FixerValues[]}
              */
             s => {
+              if (s.imported.type === 'Literal') {
+                return [];
+              }
+
               const value = s.imported.name;
               const alias = s.local.name === value ? undefined : s.local.name;
 
@@ -165,19 +172,24 @@ module.exports = {
               const emitComponent = !emitProp;
               const emitComponentAndProp =
                 emitProp &&
-                specifiers.find(s => s.imported.name === propsMatch[1])?.local
-                  .name;
+                specifiers.find(
+                  s =>
+                    s.imported.type !== 'Literal' &&
+                    s.imported.name === propsMatch[1],
+                )?.local.name;
 
-              return {
-                emitComponent: emitComponent || Boolean(emitComponentAndProp),
-                emitProp,
-                value,
-                componentValue: propsMatch ? propsMatch[1] : undefined,
-                componentAlias: emitComponentAndProp
-                  ? emitComponentAndProp
-                  : undefined,
-                alias,
-              };
+              return [
+                {
+                  emitComponent: emitComponent || Boolean(emitComponentAndProp),
+                  emitProp,
+                  value,
+                  componentValue: propsMatch ? propsMatch[1] : undefined,
+                  componentAlias: emitComponentAndProp
+                    ? emitComponentAndProp
+                    : undefined,
+                  alias,
+                },
+              ];
             },
           );
 
diff --git a/yarn.lock b/yarn.lock
index c8964dd4b6..ad20fae595 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -14544,114 +14544,114 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@rollup/rollup-android-arm-eabi@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-android-arm-eabi@npm:4.22.4"
+"@rollup/rollup-android-arm-eabi@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-android-arm-eabi@npm:4.22.5"
   conditions: os=android & cpu=arm
   languageName: node
   linkType: hard
 
-"@rollup/rollup-android-arm64@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-android-arm64@npm:4.22.4"
+"@rollup/rollup-android-arm64@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-android-arm64@npm:4.22.5"
   conditions: os=android & cpu=arm64
   languageName: node
   linkType: hard
 
-"@rollup/rollup-darwin-arm64@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-darwin-arm64@npm:4.22.4"
+"@rollup/rollup-darwin-arm64@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-darwin-arm64@npm:4.22.5"
   conditions: os=darwin & cpu=arm64
   languageName: node
   linkType: hard
 
-"@rollup/rollup-darwin-x64@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-darwin-x64@npm:4.22.4"
+"@rollup/rollup-darwin-x64@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-darwin-x64@npm:4.22.5"
   conditions: os=darwin & cpu=x64
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-arm-gnueabihf@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-arm-gnueabihf@npm:4.22.4"
+"@rollup/rollup-linux-arm-gnueabihf@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-arm-gnueabihf@npm:4.22.5"
   conditions: os=linux & cpu=arm & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-arm-musleabihf@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-arm-musleabihf@npm:4.22.4"
+"@rollup/rollup-linux-arm-musleabihf@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-arm-musleabihf@npm:4.22.5"
   conditions: os=linux & cpu=arm & libc=musl
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-arm64-gnu@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-arm64-gnu@npm:4.22.4"
+"@rollup/rollup-linux-arm64-gnu@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-arm64-gnu@npm:4.22.5"
   conditions: os=linux & cpu=arm64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-arm64-musl@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-arm64-musl@npm:4.22.4"
+"@rollup/rollup-linux-arm64-musl@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-arm64-musl@npm:4.22.5"
   conditions: os=linux & cpu=arm64 & libc=musl
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-powerpc64le-gnu@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-powerpc64le-gnu@npm:4.22.4"
+"@rollup/rollup-linux-powerpc64le-gnu@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-powerpc64le-gnu@npm:4.22.5"
   conditions: os=linux & cpu=ppc64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-riscv64-gnu@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-riscv64-gnu@npm:4.22.4"
+"@rollup/rollup-linux-riscv64-gnu@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-riscv64-gnu@npm:4.22.5"
   conditions: os=linux & cpu=riscv64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-s390x-gnu@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-s390x-gnu@npm:4.22.4"
+"@rollup/rollup-linux-s390x-gnu@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-s390x-gnu@npm:4.22.5"
   conditions: os=linux & cpu=s390x & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-x64-gnu@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-x64-gnu@npm:4.22.4"
+"@rollup/rollup-linux-x64-gnu@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-x64-gnu@npm:4.22.5"
   conditions: os=linux & cpu=x64 & libc=glibc
   languageName: node
   linkType: hard
 
-"@rollup/rollup-linux-x64-musl@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-linux-x64-musl@npm:4.22.4"
+"@rollup/rollup-linux-x64-musl@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-linux-x64-musl@npm:4.22.5"
   conditions: os=linux & cpu=x64 & libc=musl
   languageName: node
   linkType: hard
 
-"@rollup/rollup-win32-arm64-msvc@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-win32-arm64-msvc@npm:4.22.4"
+"@rollup/rollup-win32-arm64-msvc@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-win32-arm64-msvc@npm:4.22.5"
   conditions: os=win32 & cpu=arm64
   languageName: node
   linkType: hard
 
-"@rollup/rollup-win32-ia32-msvc@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-win32-ia32-msvc@npm:4.22.4"
+"@rollup/rollup-win32-ia32-msvc@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-win32-ia32-msvc@npm:4.22.5"
   conditions: os=win32 & cpu=ia32
   languageName: node
   linkType: hard
 
-"@rollup/rollup-win32-x64-msvc@npm:4.22.4":
-  version: 4.22.4
-  resolution: "@rollup/rollup-win32-x64-msvc@npm:4.22.4"
+"@rollup/rollup-win32-x64-msvc@npm:4.22.5":
+  version: 4.22.5
+  resolution: "@rollup/rollup-win32-x64-msvc@npm:4.22.5"
   conditions: os=win32 & cpu=x64
   languageName: node
   linkType: hard
@@ -17376,10 +17376,10 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@types/estree@npm:*, @types/estree@npm:1.0.5, @types/estree@npm:^1.0.0, @types/estree@npm:^1.0.5":
-  version: 1.0.5
-  resolution: "@types/estree@npm:1.0.5"
-  checksum: dd8b5bed28e6213b7acd0fb665a84e693554d850b0df423ac8076cc3ad5823a6bc26b0251d080bdc545af83179ede51dd3f6fa78cad2c46ed1f29624ddf3e41a
+"@types/estree@npm:*, @types/estree@npm:1.0.6, @types/estree@npm:^1.0.0, @types/estree@npm:^1.0.5":
+  version: 1.0.6
+  resolution: "@types/estree@npm:1.0.6"
+  checksum: 8825d6e729e16445d9a1dd2fb1db2edc5ed400799064cd4d028150701031af012ba30d6d03fe9df40f4d7a437d0de6d2b256020152b7b09bde9f2e420afdffd9
   languageName: node
   linkType: hard
 
@@ -39568,26 +39568,26 @@ __metadata:
   linkType: hard
 
 "rollup@npm:^4.0.0, rollup@npm:^4.20.0":
-  version: 4.22.4
-  resolution: "rollup@npm:4.22.4"
+  version: 4.22.5
+  resolution: "rollup@npm:4.22.5"
   dependencies:
-    "@rollup/rollup-android-arm-eabi": 4.22.4
-    "@rollup/rollup-android-arm64": 4.22.4
-    "@rollup/rollup-darwin-arm64": 4.22.4
-    "@rollup/rollup-darwin-x64": 4.22.4
-    "@rollup/rollup-linux-arm-gnueabihf": 4.22.4
-    "@rollup/rollup-linux-arm-musleabihf": 4.22.4
-    "@rollup/rollup-linux-arm64-gnu": 4.22.4
-    "@rollup/rollup-linux-arm64-musl": 4.22.4
-    "@rollup/rollup-linux-powerpc64le-gnu": 4.22.4
-    "@rollup/rollup-linux-riscv64-gnu": 4.22.4
-    "@rollup/rollup-linux-s390x-gnu": 4.22.4
-    "@rollup/rollup-linux-x64-gnu": 4.22.4
-    "@rollup/rollup-linux-x64-musl": 4.22.4
-    "@rollup/rollup-win32-arm64-msvc": 4.22.4
-    "@rollup/rollup-win32-ia32-msvc": 4.22.4
-    "@rollup/rollup-win32-x64-msvc": 4.22.4
-    "@types/estree": 1.0.5
+    "@rollup/rollup-android-arm-eabi": 4.22.5
+    "@rollup/rollup-android-arm64": 4.22.5
+    "@rollup/rollup-darwin-arm64": 4.22.5
+    "@rollup/rollup-darwin-x64": 4.22.5
+    "@rollup/rollup-linux-arm-gnueabihf": 4.22.5
+    "@rollup/rollup-linux-arm-musleabihf": 4.22.5
+    "@rollup/rollup-linux-arm64-gnu": 4.22.5
+    "@rollup/rollup-linux-arm64-musl": 4.22.5
+    "@rollup/rollup-linux-powerpc64le-gnu": 4.22.5
+    "@rollup/rollup-linux-riscv64-gnu": 4.22.5
+    "@rollup/rollup-linux-s390x-gnu": 4.22.5
+    "@rollup/rollup-linux-x64-gnu": 4.22.5
+    "@rollup/rollup-linux-x64-musl": 4.22.5
+    "@rollup/rollup-win32-arm64-msvc": 4.22.5
+    "@rollup/rollup-win32-ia32-msvc": 4.22.5
+    "@rollup/rollup-win32-x64-msvc": 4.22.5
+    "@types/estree": 1.0.6
     fsevents: ~2.3.2
   dependenciesMeta:
     "@rollup/rollup-android-arm-eabi":
@@ -39626,7 +39626,7 @@ __metadata:
       optional: true
   bin:
     rollup: dist/bin/rollup
-  checksum: b093b518deb1fd0c0455eef746abe9efa3a2cd7e2b65a4ace9e8fa5d60b3d6da2406816de2c6c1d553609f22cf730f1c5839a05a1ff60003c504486172238d1a
+  checksum: 894b3d428b5a7f1db2245f50622ce65a3ad8f754265dd1da7dce133e39b315516dbcbac51e4fe100b44d59b168bac3f36ebaeb836fc9f7057d4972f44497d046
   languageName: node
   linkType: hard