diff --git a/src/ng/rootScope.js b/src/ng/rootScope.js
index b6a582bcba67..866b957e8336 100644
--- a/src/ng/rootScope.js
+++ b/src/ng/rootScope.js
@@ -300,6 +300,14 @@ function $RootScopeProvider(){
           watcher.fn = function(newVal, oldVal, scope) {listenFn(scope);};
         }
 
+        if (typeof watchExp == 'string' && get.constant) {
+          var originalFn = watcher.fn;
+          watcher.fn = function(newVal, oldVal, scope) {
+            originalFn.call(this, newVal, oldVal, scope);
+            arrayRemove(array, watcher);
+          };
+        }
+
         if (!array) {
           array = scope.$$watchers = [];
         }
diff --git a/test/ng/rootScopeSpec.js b/test/ng/rootScopeSpec.js
index 493648885e85..33db814cd96f 100644
--- a/test/ng/rootScopeSpec.js
+++ b/test/ng/rootScopeSpec.js
@@ -99,6 +99,14 @@ describe('Scope', function() {
       expect(spy).wasCalled();
     }));
 
+    it('should not keep constant expressions on watch queue', inject(function($rootScope) {
+      $rootScope.$watch('1 + 1', function() {});
+      expect($rootScope.$$watchers.length).toEqual(1);
+      $rootScope.$digest();
+
+      expect($rootScope.$$watchers.length).toEqual(0);
+    }));
+
 
     it('should delegate exceptions', function() {
       module(function($exceptionHandlerProvider) {
@@ -119,10 +127,14 @@ describe('Scope', function() {
       var log = '';
       $rootScope.$watch('a', function() { log += 'a'; });
       $rootScope.$watch('b', function() { log += 'b'; });
+      // constant expressions have slightly different handling,
+      // let's ensure they are kept in the same list as others
+      $rootScope.$watch('1', function() { log += '1'; });
       $rootScope.$watch('c', function() { log += 'c'; });
+      $rootScope.$watch('2', function() { log += '2'; });
       $rootScope.a = $rootScope.b = $rootScope.c = 1;
       $rootScope.$digest();
-      expect(log).toEqual('abc');
+      expect(log).toEqual('ab1c2');
     }));