diff --git a/src/textual/widget.py b/src/textual/widget.py
index e1fa1346fc..33c143095c 100644
--- a/src/textual/widget.py
+++ b/src/textual/widget.py
@@ -2765,8 +2765,8 @@ def clamp_delta(delta: Offset) -> Offset:
 
             delta = clamp_delta(
                 Offset(
-                    round(region_center_x - window_center_x),
-                    round(region_center_y - window_center_y),
+                    int(region_center_x - window_center_x + 0.5),
+                    int(region_center_y - window_center_y + 0.5),
                 )
             )
             if origin_visible and (region.offset not in window.translate(delta)):