diff --git a/kitty/child-monitor.c b/kitty/child-monitor.c
index 49f1a7450..0e01aabe3 100644
--- a/kitty/child-monitor.c
+++ b/kitty/child-monitor.c
@@ -1007,7 +1007,7 @@ io_loop(void *data) {
         if (has_pending_wakeups) {
             now = monotonic();
             double time_delta = OPT(input_delay) - (now - last_main_loop_wakeup_at);
-            if (time_delta >= 0) ret = poll(fds, self->count + EXTRA_FDS, time_delta);
+            if (time_delta >= 0) ret = poll(fds, self->count + EXTRA_FDS, (int)ceil(1000 * time_delta));
             else ret = 0;
         } else {
             ret = poll(fds, self->count + EXTRA_FDS, -1);