diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/package.json b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/package.json
index 0035c2b449af..175e7e6d3fd6 100644
--- a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/package.json
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/package.json
@@ -30,6 +30,7 @@
   },
   "devDependencies": {
     "@babel/core": "workspace:^",
+    "@babel/helper-function-name": "workspace:^",
     "@babel/helper-plugin-test-runner": "workspace:^",
     "@babel/traverse": "workspace:^"
   },
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/src/util.ts b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/src/util.ts
index e884f47fd85a..e0bfc8b108ed 100644
--- a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/src/util.ts
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/src/util.ts
@@ -18,16 +18,16 @@ export function shouldTransform(
   // On collision, `getOwnBinding` returns the param binding
   // with the id binding be registered as constant violation
   const paramNameBinding = path.scope.getOwnBinding(name);
-  const constantViolations = paramNameBinding.constantViolations;
-  if (constantViolations.length === 0) {
-    // the function scope has no such collided bindings
+  if (paramNameBinding === undefined) {
+    // Case 1: the function id is injected by babel-helper-name-function, which
+    // assigns `NOT_LOCAL_BINDING` to the `functionId` and thus not registering id
+    // in scope tracking
+    // Case 2: the function id is injected by a third party plugin which does not update the
+    // scope info
     return false;
   }
-  const firstViolation = constantViolations[0];
-
-  if (firstViolation.node !== node) {
-    // the violation does not happen in id
-    // e.g. (function a() { var a; })
+  if (paramNameBinding.kind !== "param") {
+    // the function id does not reproduce in params
     return false;
   }
 
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/input.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/input.mjs
new file mode 100644
index 000000000000..9e21f507dd79
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/input.mjs
@@ -0,0 +1 @@
+var a = function ([a]) { a };
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/options.json b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/options.json
new file mode 100644
index 000000000000..da9603fd6474
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/options.json
@@ -0,0 +1,6 @@
+{
+  "plugins": [
+    "./plugin.js",
+    "bugfix-safari-id-destructuring-collision-in-function-expression"
+  ]
+}
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/output.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/output.mjs
new file mode 100644
index 000000000000..e0d2bf61a39d
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/output.mjs
@@ -0,0 +1,3 @@
+var a = function a([_a]) {
+  _a;
+};
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/plugin.js b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/plugin.js
new file mode 100644
index 000000000000..7514cb9cbb6f
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/helper-function-name/plugin.js
@@ -0,0 +1,10 @@
+const nameFunction = require("@babel/helper-function-name").default;
+
+module.exports = api => ({
+  visitor: {
+    FunctionExpression(path) {
+      const replacement = nameFunction(path);
+      if (replacement) path.replaceWith(replacement);
+    },
+  },
+});
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/input.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/input.mjs
new file mode 100644
index 000000000000..7e1a437eca13
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/input.mjs
@@ -0,0 +1 @@
+(function ([a]) { a });
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/options.json b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/options.json
new file mode 100644
index 000000000000..2189309e1ceb
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/options.json
@@ -0,0 +1,6 @@
+{
+  "plugins": [
+    "bugfix-safari-id-destructuring-collision-in-function-expression",
+    "./plugin.js"
+  ]
+}
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/output.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/output.mjs
new file mode 100644
index 000000000000..ff62417bb00f
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/output.mjs
@@ -0,0 +1,3 @@
+(function a([_a]) {
+  _a;
+});
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/plugin.js b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/plugin.js
new file mode 100644
index 000000000000..70f80a85f857
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-after/plugin.js
@@ -0,0 +1,11 @@
+module.exports = ({ types: { identifier } }) => ({
+  visitor: {
+    FunctionExpression(path) {
+      const { node } = path;
+      if (!node.id) {
+        node.id = identifier("a");
+        path.requeue();
+      }
+    },
+  },
+});
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/input.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/input.mjs
new file mode 100644
index 000000000000..7e1a437eca13
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/input.mjs
@@ -0,0 +1 @@
+(function ([a]) { a });
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/options.json b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/options.json
new file mode 100644
index 000000000000..da9603fd6474
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/options.json
@@ -0,0 +1,6 @@
+{
+  "plugins": [
+    "./plugin.js",
+    "bugfix-safari-id-destructuring-collision-in-function-expression"
+  ]
+}
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/output.mjs b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/output.mjs
new file mode 100644
index 000000000000..ff62417bb00f
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/output.mjs
@@ -0,0 +1,3 @@
+(function a([_a]) {
+  _a;
+});
diff --git a/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/plugin.js b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/plugin.js
new file mode 100644
index 000000000000..70f80a85f857
--- /dev/null
+++ b/packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression/test/fixtures/integration/plugin-injecting-function-id-before/plugin.js
@@ -0,0 +1,11 @@
+module.exports = ({ types: { identifier } }) => ({
+  visitor: {
+    FunctionExpression(path) {
+      const { node } = path;
+      if (!node.id) {
+        node.id = identifier("a");
+        path.requeue();
+      }
+    },
+  },
+});
diff --git a/yarn.lock b/yarn.lock
index 742828b9991e..0f11ef2ddada 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -1047,6 +1047,7 @@ __metadata:
   resolution: "@babel/plugin-bugfix-safari-id-destructuring-collision-in-function-expression@workspace:packages/babel-plugin-bugfix-safari-id-destructuring-collision-in-function-expression"
   dependencies:
     "@babel/core": "workspace:^"
+    "@babel/helper-function-name": "workspace:^"
     "@babel/helper-plugin-test-runner": "workspace:^"
     "@babel/helper-plugin-utils": "workspace:^"
     "@babel/traverse": "workspace:^"