diff --git a/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js b/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
index 30c0c5c8c3..769259cd6b 100644
--- a/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
+++ b/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
@@ -125,6 +125,11 @@ export default function () {
 
     visitor: {
       ThisExpression(path, state) {
+        // If other plugins run after this plugin's Program#exit handler, we allow them to
+        // insert top-level `this` values. This allows the AMD and UMD plugins to
+        // function properly.
+        if (this.ranCommonJS) return;
+
         if (
           state.opts.allowTopLevelThis !== true &&
           !path.findParent((path) => !path.is("shadow") &&
@@ -136,6 +141,8 @@ export default function () {
 
       Program: {
         exit(path) {
+          this.ranCommonJS = true;
+
           let strict = !!this.opts.strict;
 
           let { scope } = path;
diff --git a/packages/babel-traverse/src/path/context.js b/packages/babel-traverse/src/path/context.js
index fcd06d5ca0..2c2c0ed366 100644
--- a/packages/babel-traverse/src/path/context.js
+++ b/packages/babel-traverse/src/path/context.js
@@ -208,10 +208,22 @@ export function setKey(key) {
   this.type = this.node && this.node.type;
 }
 
-export function requeue(path = this) {
-  if (path.removed) return;
+export function requeue(pathToQueue = this) {
+  if (pathToQueue.removed) return;
 
-  for (let context of this.contexts) {
-    context.maybeQueue(path);
+  let contexts = this._getQueueContexts();
+
+  for (let context of contexts) {
+    context.maybeQueue(pathToQueue);
   }
 }
+
+export function _getQueueContexts(){
+  let path = this;
+  let contexts = this.contexts;
+  while (!contexts.length) {
+    path = path.parentPath;
+    contexts = path.contexts;
+  }
+  return contexts;
+}
diff --git a/packages/babel-traverse/src/path/modification.js b/packages/babel-traverse/src/path/modification.js
index ce141aa6c5..5811a19514 100644
--- a/packages/babel-traverse/src/path/modification.js
+++ b/packages/babel-traverse/src/path/modification.js
@@ -60,12 +60,7 @@ export function _containerInsert(from, nodes) {
     }
   }
 
-  let contexts = this.contexts;
-  let path = this;
-  while (!contexts.length) {
-    path = path.parentPath;
-    contexts = path.contexts;
-  }
+  let contexts = this._getQueueContexts();
 
   for (let path of paths) {
     path.setScope();