Don't peek messages in the MessagePumpForUI class when we receive our kMsgHaveWork message.

base/message_loop/message_pump.h

Index: base/message_loop/message_pump.h
diff --git a/base/message_loop/message_pump.h b/base/message_loop/message_pump.h
index a2edb458a96b533297c83ff8727fbc2169f26a83..77a49cee49416cf8a2dad32d7ba90285be1204d3 100644
--- a/base/message_loop/message_pump.h
+++ b/base/message_loop/message_pump.h
@@ -42,6 +42,9 @@ class BASE_EXPORT MessagePump : public NonThreadSafe {
     // Returns true to indicate that idle work was done. Returning false means
     // the pump will now wait.
     virtual bool DoIdleWork() = 0;
+
+    // Returns the delay for the newly added task.
+    virtual TimeTicks GetNewlyAddedTaskDelay() = 0;
   };
 
   MessagePump();