diff --git a/src/com/google/javascript/jscomp/CheckRequiresForConstructors.java b/src/com/google/javascript/jscomp/CheckRequiresForConstructors.java
index 9dcebb7c9c5..b254f9c1cb1 100644
--- a/src/com/google/javascript/jscomp/CheckRequiresForConstructors.java
+++ b/src/com/google/javascript/jscomp/CheckRequiresForConstructors.java
@@ -149,8 +149,13 @@ public void visit(NodeTraversal t, Node n, Node parent) {
           maybeAddConstructor(n);
         }
         break;
+      case Token.NAME:
+        if (!NodeUtil.isLValue(n)) {
+          visitQualifiedName(n);
+        }
+        break;
       case Token.GETPROP:
-        visitGetProp(n);
+        visitQualifiedName(n);
         break;
       case Token.CALL:
         visitCallNode(n, parent);
@@ -293,7 +298,7 @@ private void visitCallNode(Node call, Node parent) {
     }
   }
 
-  private void visitGetProp(Node getprop) {
+  private void visitQualifiedName(Node getprop) {
     // For "foo.bar.baz.qux" add weak usages for "foo.bar.baz.qux", foo.bar.baz",
     // "foo.bar", and "foo" because those might all be goog.provide'd in different files,
     // so it doesn't make sense to require the user to goog.require all of them.
@@ -507,7 +512,7 @@ public void visit(Node typeNode) {
                 //     var MyHandler = function() {};
                 Node getprop = NodeUtil.newQName(compiler, typeString);
                 getprop.useSourceInfoIfMissingFromForTree(typeNode);
-                visitGetProp(getprop);
+                visitQualifiedName(getprop);
               } else {
                 // Even if the root namespace is in externs, add a weak usage because the full
                 // namespace may still be goog.provided.
diff --git a/src/com/google/javascript/jscomp/NodeUtil.java b/src/com/google/javascript/jscomp/NodeUtil.java
index 01cd2664caa..3af3b6fd233 100644
--- a/src/com/google/javascript/jscomp/NodeUtil.java
+++ b/src/com/google/javascript/jscomp/NodeUtil.java
@@ -2681,9 +2681,16 @@ public static boolean isLValue(Node n) {
         || parent.isInc()
         || parent.isParamList()
         || parent.isCatch()
+        || isImportedName(n)
         || isLhsByDestructuring(n);
   }
 
+  public static boolean isImportedName(Node n) {
+    Node parent = n.getParent();
+    return parent.isImport()
+        || parent.isImportSpec() && parent.getLastChild() == n;
+  }
+
   public static boolean isLhsByDestructuring(Node n) {
     Node parent = n.getParent();
 
diff --git a/src/com/google/javascript/rhino/Node.java b/src/com/google/javascript/rhino/Node.java
index 738ec26b4bd..5af1c1f463a 100644
--- a/src/com/google/javascript/rhino/Node.java
+++ b/src/com/google/javascript/rhino/Node.java
@@ -2679,6 +2679,10 @@ public boolean isImport() {
     return this.getType() == Token.IMPORT;
   }
 
+  public boolean isImportSpec() {
+    return this.getType() == Token.IMPORT_SPEC;
+  }
+
   public boolean isIn() {
     return this.getType() == Token.IN;
   }
diff --git a/test/com/google/javascript/jscomp/SingleFileCheckRequiresTest.java b/test/com/google/javascript/jscomp/SingleFileCheckRequiresTest.java
index c720be025d3..2f835832505 100644
--- a/test/com/google/javascript/jscomp/SingleFileCheckRequiresTest.java
+++ b/test/com/google/javascript/jscomp/SingleFileCheckRequiresTest.java
@@ -63,6 +63,34 @@ public void testReferenceToQualifiedName() {
         MISSING_REQUIRE_WARNING);
   }
 
+  public void testReferenceToUnqualifiedName() {
+    testSameEs6(
+        LINE_JOINER.join(
+            "goog.module('a.b.c');",
+            "var z = goog.require('x.y.z');",
+            "",
+            "exports = { foobar : z };"));
+
+    testSameEs6(
+        LINE_JOINER.join(
+            "goog.module('a.b.c');",
+            "var {z} = goog.require('x.y');",
+            "",
+            "exports = { foobar : z };"));
+
+    testSameEs6(
+        LINE_JOINER.join(
+            "import {z} from 'x.y'",
+            "",
+            "export var foobar = z;"));
+
+    testSameEs6(
+        LINE_JOINER.join(
+            "import z from 'x.y.z'",
+            "",
+            "export var foobar = z;"));
+  }
+
   public void testExtraRequire() {
     testErrorEs6("goog.require('foo.Bar');", EXTRA_REQUIRE_WARNING);
   }