diff --git a/tools/glib.supp b/tools/glib.supp
index 941d64bc9..9ff78cc15 100644
--- a/tools/glib.supp
+++ b/tools/glib.supp
@@ -843,7 +843,7 @@
 # _g_unset_cached_tmp_dir() deliberately leaks the previous cached g_get_tmp_dir() values.
 # These will not all be reachable on exit.
 {
-	g_get_tmp_dir
+	g_get_tmp_dir_test_init
 	Memcheck:Leak
 	match-leak-kinds:definite,reachable
 	fun:malloc
@@ -853,6 +853,16 @@
 	fun:g_test_init
 }
 
+# g_get_tmp_dir() caches a one-time allocation
+{
+	g_get_tmp_dir
+	Memcheck:Leak
+	match-leak-kinds:definite,reachable
+	fun:malloc
+	...
+	fun:g_get_tmp_dir
+}
+
 # g_get_system_data_dirs() caches a one-time allocation
 {
 	g_get_system_data_dirs