diff --git a/packages/cli/src/lib/versioning/Lockfile.test.ts b/packages/cli/src/lib/versioning/Lockfile.test.ts
index 5459ed53fb..20847242d3 100644
--- a/packages/cli/src/lib/versioning/Lockfile.test.ts
+++ b/packages/cli/src/lib/versioning/Lockfile.test.ts
@@ -122,7 +122,7 @@ describe('Lockfile', () => {
         {
           name: '@s/a',
           oldRange: '^1',
-          newRange: '*',
+          newRange: '^2.0.x',
           oldVersion: '1.0.1',
           newVersion: '2.0.0',
         },
diff --git a/packages/cli/src/lib/versioning/Lockfile.ts b/packages/cli/src/lib/versioning/Lockfile.ts
index e03fa8ec3f..8acb387704 100644
--- a/packages/cli/src/lib/versioning/Lockfile.ts
+++ b/packages/cli/src/lib/versioning/Lockfile.ts
@@ -167,9 +167,15 @@ export class Lockfile {
         continue;
       }
 
-      // Find the max version and range that we may want bump older packages to
+      // Find the max version that we may want bump older packages to
       const maxVersion = Array.from(acceptedVersions).sort(semver.rcompare)[0];
-      const maxEntry = entries.find(e => semver.satisfies(maxVersion, e.range));
+      // Find all existing ranges that satisfy the new max version, and pick the one that
+      // results in the highest minimum allowed version, usually being the more specific one
+      const maxEntry = entries
+        .filter(e => semver.satisfies(maxVersion, e.range))
+        .map(e => ({ e, min: semver.minVersion(e.range) }))
+        .filter(p => p.min)
+        .sort((a, b) => semver.rcompare(a.min!, b.min!))[0]?.e;
       if (!maxEntry) {
         throw new Error(
           `No entry found that satisfies max version '${maxVersion}'`,