diff --git a/packages/excalidraw/components/App.tsx b/packages/excalidraw/components/App.tsx
index 8e6fb53735..cdbce6b307 100644
--- a/packages/excalidraw/components/App.tsx
+++ b/packages/excalidraw/components/App.tsx
@@ -4432,7 +4432,7 @@ class App extends React.Component<AppProps, AppState> {
 
   /** clamps scroll/zoom back into `appState.scrollConstraints` (no-op when
    * unconstrained). Runs as a queued update, so it sees the preceding change.
-   * `tolerance` (0–1) relaxes the bounds for rubberbanding. */
+   * `tolerance` (screen px) relaxes the bounds for rubberbanding. */
   private constrainViewportToScrollConstraints = (tolerance = 0) => {
     this.setState((prevState) =>
       prevState.scrollConstraints
diff --git a/packages/excalidraw/scroll.ts b/packages/excalidraw/scroll.ts
index 7f30a3e831..90a5d2622b 100644
--- a/packages/excalidraw/scroll.ts
+++ b/packages/excalidraw/scroll.ts
@@ -90,9 +90,10 @@ const constrainScrollAxis = (
  * inside the box, any zoom anchor (which lives within the viewport) is also
  * guaranteed to stay inside the box.
  *
- * `tolerance` (0–1, a fraction of the viewport) relaxes the bounds for
- * rubberbanding: the viewport may pan past the edges / zoom out below the fit
- * zoom by that fraction. Pass `0` (default) for a hard clamp.
+ * `tolerance` is the rubberband overscroll allowance, in screen pixels: the
+ * viewport may pan past the box edges (and zoom out below the fit zoom) until
+ * each edge has crossed the box by up to `tolerance` pixels on screen,
+ * independent of the current zoom. Pass `0` (default) for a hard clamp.
  */
 export const constrainScrollState = (
   state: Pick<
@@ -107,31 +108,35 @@ export const constrainScrollState = (
     return { scrollX: state.scrollX, scrollY: state.scrollY, zoom: state.zoom };
   }
 
-  tolerance = clamp(tolerance, 0, 1);
+  tolerance = Math.max(tolerance, 0);
 
-  const minZoom = getMinZoomForConstraints(scrollConstraints, {
-    width,
-    height,
+  // relax the min zoom so the user can briefly zoom out past the fit zoom,
+  // letting each viewport edge cross the box by up to `tolerance` screen px
+  const relaxedMinZoom = getMinZoomForConstraints(scrollConstraints, {
+    width: width - 2 * tolerance,
+    height: height - 2 * tolerance,
   });
-  // relax the min zoom so the user can briefly zoom out past the fit zoom
   const zoomValue = getNormalizedZoom(
-    clamp(state.zoom.value, minZoom * (1 - tolerance), MAX_ZOOM),
+    clamp(state.zoom.value, relaxedMinZoom, MAX_ZOOM),
   );
 
+  // `tolerance` screen px expressed in scene coords at the current zoom
+  const overscroll = tolerance / zoomValue;
+
   return {
     scrollX: constrainScrollAxis(
       state.scrollX,
       scrollConstraints.x,
       scrollConstraints.width,
       width / zoomValue,
-      (tolerance * width) / zoomValue,
+      overscroll,
     ),
     scrollY: constrainScrollAxis(
       state.scrollY,
       scrollConstraints.y,
       scrollConstraints.height,
       height / zoomValue,
-      (tolerance * height) / zoomValue,
+      overscroll,
     ),
     zoom: { value: zoomValue },
   };
diff --git a/packages/excalidraw/tests/scrollConstraints.test.tsx b/packages/excalidraw/tests/scrollConstraints.test.tsx
index 468d6a9e5a..28faad393a 100644
--- a/packages/excalidraw/tests/scrollConstraints.test.tsx
+++ b/packages/excalidraw/tests/scrollConstraints.test.tsx
@@ -221,19 +221,38 @@ describe("setScrollConstraints (integration)", () => {
 describe("rubberband tolerance (pure)", () => {
   const box: ScrollConstraints = { x: 0, y: 0, width: 1000, height: 1000 };
 
-  it("allows scroll overscroll up to `tolerance` fraction of the viewport", () => {
-    const tolerance = 0.25;
-    // hard max for scrollX is -box.x = 0; soft adds tolerance * width / zoom
+  it("allows scroll overscroll up to `tolerance` screen pixels", () => {
+    const tolerance = 30; // screen px
+    // hard max for scrollX is -box.x = 0; soft adds tolerance / zoom scene px
     const result = constrainScrollState(
       makeState({ scrollX: 999, scrollConstraints: { ...box, tolerance } }),
       tolerance,
     );
-    expect(result.scrollX).toBeCloseTo((tolerance * VIEWPORT.width) / 1); // 50
+    expect(result.scrollX).toBeCloseTo(tolerance / 1); // 30 (zoom 1)
   });
 
-  it("relaxes the minimum zoom by the `tolerance` fraction", () => {
-    const tolerance = 0.25;
-    const minZoom = getMinZoomForConstraints(box, VIEWPORT); // 0.2
+  it("keeps the overscroll a fixed screen distance regardless of zoom", () => {
+    const tolerance = 30; // screen px
+    const result = constrainScrollState(
+      makeState({
+        scrollX: 999,
+        zoom: { value: getNormalizedZoom(2) },
+        scrollConstraints: { ...box, tolerance },
+      }),
+      tolerance,
+    );
+    // 30 screen px at zoom 2 -> 15 scene px of overscroll
+    expect(result.scrollX).toBeCloseTo(tolerance / 2); // 15
+  });
+
+  it("relaxes the minimum zoom by the `tolerance` screen pixels", () => {
+    const tolerance = 25; // screen px
+    // relaxed min zoom lets the box shrink within the viewport by `tolerance`
+    // px on each side: max((200-50)/1000, (100-50)/1000) = 0.15
+    const expected = getMinZoomForConstraints(box, {
+      width: VIEWPORT.width - 2 * tolerance,
+      height: VIEWPORT.height - 2 * tolerance,
+    });
     const result = constrainScrollState(
       makeState({
         zoom: { value: getNormalizedZoom(0.01) },
@@ -241,7 +260,7 @@ describe("rubberband tolerance (pure)", () => {
       }),
       tolerance,
     );
-    expect(result.zoom.value).toBeCloseTo(minZoom * (1 - tolerance)); // 0.15
+    expect(result.zoom.value).toBeCloseTo(expected); // 0.15
   });
 
   it("hard-clamps when tolerance is 0 (default)", () => {
@@ -305,7 +324,7 @@ describe("rubberband tolerance (integration)", () => {
         y: 0,
         width: 1000,
         height: 1000,
-        tolerance: 0.25,
+        tolerance: 25,
       });
     });
 
@@ -315,8 +334,10 @@ describe("rubberband tolerance (integration)", () => {
     // page-up pans up, pushing scrollY past the hard edge into the overscroll
     Keyboard.keyPress(KEYS.PAGE_UP);
 
-    // overscrolled past 0, but bounded by tolerance * height = 25
+    // overscrolled past 0, but bounded by tolerance (25 screen px / zoom 1)
     expect(h.state.scrollY).toBeGreaterThan(0);
-    expect(h.state.scrollY).toBeLessThanOrEqual(0.25 * h.state.height + 0.001);
+    expect(h.state.scrollY).toBeLessThanOrEqual(
+      25 / h.state.zoom.value + 0.001,
+    );
   });
 });