diff --git a/crates/layout/src/lib.rs b/crates/layout/src/lib.rs
index 19de84afb..33ad233ff 100644
--- a/crates/layout/src/lib.rs
+++ b/crates/layout/src/lib.rs
@@ -629,14 +629,26 @@ fn distribute(items: &mut [Item], mut open: Vec<usize>, free: f64) {
             .collect();
         let violation: f64 = sized.iter().map(|(_, want, v)| v - want).sum();
         let frozen = |want: f64, v: f64| violation.abs() < 1e-9 || (violation > 0.0 && v > want + 1e-9) || (violation < 0.0 && v < want - 1e-9);
+        let mut progressed = false;
         for (i, want, v) in &sized {
             if frozen(*want, *v)
                 && let Some(it) = items.get_mut(*i)
             {
                 it.main = *v;
                 free -= *v;
+                progressed = true;
             }
         }
+        if !progressed {
+            // Several clampings each under the tolerance added up past it, so none froze: settle
+            // them all as clamped rather than go round again with nothing changed.
+            for (i, _, v) in &sized {
+                if let Some(it) = items.get_mut(*i) {
+                    it.main = *v;
+                }
+            }
+            break;
+        }
         free = free.max(0.0);
         open = sized.into_iter().filter(|(_, want, v)| !frozen(*want, *v)).map(|(i, _, _)| i).collect();
     }
diff --git a/crates/layout/src/tests.rs b/crates/layout/src/tests.rs
index 0af9861b8..d48c1fb8d 100644
--- a/crates/layout/src/tests.rs
+++ b/crates/layout/src/tests.rs
@@ -447,3 +447,24 @@ fn grid_hostile_values() {
         assert!(x.is_finite() && y.is_finite() && w.is_finite() && h.is_finite());
     }
 }
+
+#[test]
+fn fill_children_whose_tiny_clampings_add_up_past_the_tolerance_still_settle() {
+    // Three fill children sharing 300 px, each with a minimum 5e-10 over its 100 px share: no
+    // single clamping passes the 1e-9 tolerance, but together they do, so no child froze and the
+    // distribution loop went round forever without changing anything.
+    let mut d = Document::new("t");
+    let p = d.first_page().unwrap();
+    let f = d.create(p, NodeKind::Frame, "F", 0.0, 0.0, 300.0, 100.0).unwrap();
+    d.get_mut(f).unwrap().layout = Some(AutoLayout { mode: LayoutMode::Horizontal, gap: 0.0, padding: [0.0; 4], ..Default::default() });
+    let kids: Vec<NodeId> = (0..3).map(|i| d.create(f, NodeKind::Rectangle, "K", 0.0, 0.0, 10.0, 20.0 + i as f64).unwrap()).collect();
+    for k in &kids {
+        let n = d.get_mut(*k).unwrap();
+        n.child_layout.sizing_h = Sizing::Fill;
+        n.child_layout.min_w = Some(100.0 + 5e-10);
+    }
+    layout_frame(&mut d, f, &NoMeasure);
+    for k in &kids {
+        assert!((pos(&d, *k).2 - 100.0).abs() < 1e-6, "{:?}", pos(&d, *k));
+    }
+}