diff --git a/crates/doc/src/live/envelope.rs b/crates/doc/src/live/envelope.rs
index 2fe16f5e21..44dc406c1d 100644
--- a/crates/doc/src/live/envelope.rs
+++ b/crates/doc/src/live/envelope.rs
@@ -563,7 +563,8 @@ pub fn warp_grid(n: &Node) -> Option<GradientMesh> {
     if !matches!(**kind, EnvelopeKind::Warp { .. }) {
         return None;
     }
-    let inputs = TYPE_INK.get().map_or(0, |(_, inputs)| inputs());
+    // `None` until a measure is registered, so a grid kept before then is built again after.
+    let inputs = TYPE_INK.get().map(|(_, inputs)| inputs());
     let key: Vec<usize> = content.iter().map(|c| Arc::as_ptr(c) as usize).collect();
     let same = |k: &KeptGrid| k.kind == **kind && k.frame == **frame && k.options == *options && k.inputs == inputs;
     if let Some(grid) = WARP_GRIDS_KEPT.with_borrow(|kept| kept.get(&key).filter(|k| same(k)).map(|k| k.grid.clone())) {
@@ -593,7 +594,7 @@ struct KeptGrid {
     kind: EnvelopeKind,
     frame: Affine,
     options: EnvelopeOptions,
-    inputs: u64,
+    inputs: Option<u64>,
     grid: Option<GradientMesh>,
 }
 
diff --git a/crates/doc/tests/warp_grid_type_ink.rs b/crates/doc/tests/warp_grid_type_ink.rs
new file mode 100644
index 0000000000..ae000a3f6a
--- /dev/null
+++ b/crates/doc/tests/warp_grid_type_ink.rs
@@ -0,0 +1,49 @@
+//! A warp grid kept before type's measure is registered is built again once it is, even when the
+//! registered inputs number is 0. One test in its own process, so nothing has registered the
+//! measure before it runs.
+// Integration tests: unwrapping and panicking on failure is fine here, unlike in shipped code (AGENTS.md › Robustness).
+#![allow(clippy::unwrap_used, clippy::expect_used, clippy::panic)]
+
+use std::sync::Arc;
+
+use vectorcraft_doc::live::{EnvelopeOptions, set_type_ink, warp_grid};
+use vectorcraft_doc::{CharStyle, EnvelopeKind, Node, NodeId, NodeKind, TextObject};
+use vectorcraft_geom::{Affine, Point, Rect};
+
+/// A measure that gives every type the same box, well away from its laid-out box.
+fn fixed_ink(_: &TextObject, _: Affine, _: Option<(vectorcraft_geom::Homography, Affine)>) -> Option<Rect> {
+    Some(Rect::new(0.0, 0.0, 400.0, 300.0))
+}
+
+fn no_inputs() -> u64 {
+    0
+}
+
+/// An arc warp around `t`, its content in a new `Arc`.
+fn warp_of(t: &TextObject) -> Node {
+    let content = Arc::new(Node::new(NodeId(1), NodeKind::Text(Box::new(t.clone()))));
+    let kind = EnvelopeKind::Warp { style: "arc".into(), bend: 50.0, h: 0.0, v: 0.0, horizontal: true, version: 1 };
+    Node::new(
+        NodeId(2),
+        NodeKind::Envelope {
+            content: vec![content],
+            kind: Box::new(kind),
+            fidelity: 50.0,
+            editing: false,
+            options: EnvelopeOptions::NEW,
+            frame: Box::new(Affine::IDENTITY),
+        },
+    )
+}
+
+#[test]
+fn a_warp_grid_kept_before_the_type_measure_is_built_again() {
+    let t = TextObject::point(Point::new(100.0, 100.0), "Type", CharStyle::default());
+    let n = warp_of(&t);
+    let before = warp_grid(&n);
+    set_type_ink(fixed_ink, no_inputs);
+    let fresh = warp_grid(&warp_of(&t));
+    assert!(fresh.is_some());
+    assert_ne!(fresh, before, "the registered measure moves the grid");
+    assert_eq!(warp_grid(&n), fresh, "the grid kept from before the registration is built again");
+}