diff --git a/src/connection.c b/src/connection.c
index 2d1e8d1d..dcb56650 100644
--- a/src/connection.c
+++ b/src/connection.c
@@ -1547,7 +1547,7 @@ wl_closure_print(struct wl_closure *closure, struct wl_object *target,
 	struct argument_details arg;
 	const char *signature = closure->message->signature;
 	struct timespec tp;
-	unsigned int time;
+	uint64_t time;
 	uint32_t nval;
 	FILE *f;
 	char *buffer;
@@ -1558,10 +1558,10 @@ wl_closure_print(struct wl_closure *closure, struct wl_object *target,
 		return;
 
 	clock_gettime(CLOCK_REALTIME, &tp);
-	time = (tp.tv_sec * 1000000L) + (tp.tv_nsec / 1000);
+	time = ((tp.tv_sec % 10000LL) * 1000000LL) + (tp.tv_nsec / 1000);
 	fprintf(f, "%s[%7u.%03u] ",
 		color ? WL_DEBUG_COLOR_GREEN : "",
-		time / 1000, time % 1000);
+		(unsigned int)(time / 1000), (unsigned int)(time % 1000));
 
 #if defined(HAVE_GETTID)
 	if (include_tid < 0) {