diff --git a/src/core/events.c b/src/core/events.c
index f8b3bb4be..ba2dca734 100644
--- a/src/core/events.c
+++ b/src/core/events.c
@@ -383,9 +383,9 @@ meta_display_handle_event (MetaDisplay        *display,
            * nor do we want to use them to sanity check other timestamps.
            * See bug 313490 for more details.
            */
-          meta_warning ("Event has no timestamp! You may be using a broken "
-                        "program such as xse.  Please ask the authors of that "
-                        "program to fix it.");
+          meta_topic (META_DEBUG_X11,
+                      "Event has no timestamp! You may be using a program "
+                      "injecting events with invalid timestamps.");
         }
       else
         {
diff --git a/src/core/window.c b/src/core/window.c
index b2368cefb..1ca6128f4 100644
--- a/src/core/window.c
+++ b/src/core/window.c
@@ -5723,12 +5723,15 @@ meta_window_recalc_features (MetaWindow *window)
        * about these apps but make them work.
        */
 
-      meta_warning ("Window %s sets an MWM hint indicating it isn't resizable, but sets min size %d x %d and max size %d x %d; this doesn't make much sense.",
-                    window->desc,
-                    window->size_hints.min_width,
-                    window->size_hints.min_height,
-                    window->size_hints.max_width,
-                    window->size_hints.max_height);
+      meta_topic (META_DEBUG_X11,
+                  "Window %s sets an MWM hint indicating it isn't resizable, "
+                  "but sets min size %d x %d and max size %d x %d; "
+                  "this doesn't make much sense.",
+                  window->desc,
+                  window->size_hints.min_width,
+                  window->size_hints.min_height,
+                  window->size_hints.max_width,
+                  window->size_hints.max_height);
     }
 
   window->has_fullscreen_func = TRUE;