diff --git a/src/video/cocoa/SDL_cocoamouse.m b/src/video/cocoa/SDL_cocoamouse.m
index 029a31832..c9db25394 100644
--- a/src/video/cocoa/SDL_cocoamouse.m
+++ b/src/video/cocoa/SDL_cocoamouse.m
@@ -432,6 +432,16 @@ Cocoa_HandleMouseWheel(SDL_Window *window, NSEvent *event)
         }
     }
 
+    if (x > 0) {
+        x = SDL_ceil(x);
+    } else if (x < 0) {
+        x = SDL_floor(x);
+    }
+    if (y > 0) {
+        y = SDL_ceil(y);
+    } else if (y < 0) {
+        y = SDL_floor(y);
+    }
     SDL_SendMouseWheel(window, mouse->mouseID, x, y, direction);
 }