diff --git a/packages/babel-helper-module-transforms/src/rewrite-live-references.js b/packages/babel-helper-module-transforms/src/rewrite-live-references.js
index 4f31fd926c..a5de3a2492 100644
--- a/packages/babel-helper-module-transforms/src/rewrite-live-references.js
+++ b/packages/babel-helper-module-transforms/src/rewrite-live-references.js
@@ -177,14 +177,14 @@ const rewriteReferencesVisitor = {
 
     const localName = path.node.name;
 
-    const localBinding = path.scope.getBinding(localName);
-    const rootBinding = scope.getBinding(localName);
-
-    // redeclared in this scope
-    if (rootBinding !== localBinding) return;
-
     const importData = imported.get(localName);
     if (importData) {
+      const localBinding = path.scope.getBinding(localName);
+      const rootBinding = scope.getBinding(localName);
+
+      // redeclared in this scope
+      if (rootBinding !== localBinding) return;
+
       const ref = buildImportReference(importData, path.node);
 
       // Preserve the binding location so that sourcemaps are nicer.
diff --git a/packages/babel-plugin-transform-typescript/src/index.js b/packages/babel-plugin-transform-typescript/src/index.js
index 89b24c8104..b302ea5aa7 100644
--- a/packages/babel-plugin-transform-typescript/src/index.js
+++ b/packages/babel-plugin-transform-typescript/src/index.js
@@ -384,21 +384,26 @@ export default declare((api, opts) => {
         });
       },
 
-      Function({ node }) {
+      Function(path) {
+        const { node, scope } = path;
         if (node.typeParameters) node.typeParameters = null;
         if (node.returnType) node.returnType = null;
 
-        const p0 = node.params[0];
-        if (p0 && t.isIdentifier(p0) && p0.name === "this") {
-          node.params.shift();
+        const params = node.params;
+        if (params.length > 0 && t.isIdentifier(params[0], { name: "this" })) {
+          params.shift();
         }
 
         // We replace `TSParameterProperty` here so that transforms that
         // rely on a `Function` visitor to deal with arguments, like
         // `transform-parameters`, work properly.
-        node.params = node.params.map(p => {
-          return p.type === "TSParameterProperty" ? p.parameter : p;
-        });
+        const paramsPath = path.get("params");
+        for (const p of paramsPath) {
+          if (p.type === "TSParameterProperty") {
+            p.replaceWith(p.get("parameter"));
+            scope.registerBinding("param", p);
+          }
+        }
       },
 
       TSModuleDeclaration(path) {
diff --git a/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/input.mjs b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/input.mjs
new file mode 100644
index 0000000000..58ac1d3d91
--- /dev/null
+++ b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/input.mjs
@@ -0,0 +1,8 @@
+import { messaging } from 'firebase-admin'
+
+export class Something {
+  constructor(
+  	public messaging: messaging.Messaging
+  ) {
+  }
+}
diff --git a/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/options.json b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/options.json
new file mode 100644
index 0000000000..b93bd8c8fd
--- /dev/null
+++ b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/options.json
@@ -0,0 +1,3 @@
+{
+  "plugins":["transform-typescript", "transform-classes", "transform-modules-commonjs"]
+}
diff --git a/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/output.js b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/output.js
new file mode 100644
index 0000000000..7582ed08e3
--- /dev/null
+++ b/packages/babel-plugin-transform-typescript/test/fixtures/regression/11061/output.js
@@ -0,0 +1,18 @@
+"use strict";
+
+Object.defineProperty(exports, "__esModule", {
+  value: true
+});
+exports.Something = void 0;
+
+var _firebaseAdmin = require("firebase-admin");
+
+function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }
+
+let Something = function Something(messaging) {
+  _classCallCheck(this, Something);
+
+  this.messaging = messaging;
+};
+
+exports.Something = Something;