diff --git a/glib/tests/mainloop.c b/glib/tests/mainloop.c
index 7d61d7a79..7e27b3c67 100644
--- a/glib/tests/mainloop.c
+++ b/glib/tests/mainloop.c
@@ -193,12 +193,16 @@ test_timeouts (void)
 
   g_main_loop_run (loop);
 
-  /* this is a race condition; under some circumstances we might not get 10
-   * 100ms runs in 1050 ms, so consider 9 as "close enough" */
-  g_assert_cmpint (a, >=, 9);
+  /* We may be delayed for an arbitrary amount of time - for example,
+   * it's possible for all timeouts to fire exactly once.
+   */
+  g_assert_cmpint (a, >, 0);
+  g_assert_cmpint (a, >=, b);
+  g_assert_cmpint (b, >=, c);
+
   g_assert_cmpint (a, <=, 10);
-  g_assert_cmpint (b, ==, 4);
-  g_assert_cmpint (c, ==, 3);
+  g_assert_cmpint (b, <=, 4);
+  g_assert_cmpint (c, <=, 3);
 
   g_main_loop_unref (loop);
   g_main_context_unref (ctx);