diff --git a/video/out/wayland_common.c b/video/out/wayland_common.c
index d4b7a1eecc..3ea4a3f4a6 100644
--- a/video/out/wayland_common.c
+++ b/video/out/wayland_common.c
@@ -1139,7 +1139,7 @@ void vo_wayland_wait_events(struct vo *vo, int64_t until_time_us)
     };
 
     int64_t wait_us = until_time_us - mp_time_us();
-    int timeout_ms = MPCLAMP((wait_us + 500) / 1000, 0, 10000);
+    int timeout_ms = MPCLAMP((wait_us + 999) / 1000, 0, 10000);
 
     wl_display_dispatch_pending(dp);
     wl_display_flush(dp);
diff --git a/video/out/x11_common.c b/video/out/x11_common.c
index 1b780598af..8c51329a13 100644
--- a/video/out/x11_common.c
+++ b/video/out/x11_common.c
@@ -1938,7 +1938,7 @@ void vo_x11_wait_events(struct vo *vo, int64_t until_time_us)
         { .fd = x11->wakeup_pipe[0], .events = POLLIN },
     };
     int64_t wait_us = until_time_us - mp_time_us();
-    int timeout_ms = MPCLAMP((wait_us + 500) / 1000, 0, 10000);
+    int timeout_ms = MPCLAMP((wait_us + 999) / 1000, 0, 10000);
 
     poll(fds, 2, timeout_ms);