diff --git a/crates/eframe/src/native/run.rs b/crates/eframe/src/native/run.rs
index f4734988793..28aad0420b0 100644
--- a/crates/eframe/src/native/run.rs
+++ b/crates/eframe/src/native/run.rs
@@ -192,7 +192,9 @@ fn run_and_return(
 
             if let Some(window) = winit_app.window(*window_id) {
                 log::trace!("request_redraw for {window_id:?}");
-                window.request_redraw();
+                if !window.is_minimized().unwrap_or(false) {
+                    window.request_redraw();
+                }
                 true
             } else {
                 log::trace!("No window found for {window_id:?}");
@@ -345,7 +347,9 @@ fn run_and_exit(
 
             if let Some(window) = winit_app.window(*window_id) {
                 log::trace!("request_redraw for {window_id:?}");
-                window.request_redraw();
+                if !window.is_minimized().unwrap_or(false) {
+                    window.request_redraw();
+                }
                 true
             } else {
                 log::trace!("No window found for {window_id:?}");