diff --git a/src/interactions/pointer.js b/src/interactions/pointer.js
index 7aa19f25f9..70a47a56e0 100644
--- a/src/interactions/pointer.js
+++ b/src/interactions/pointer.js
@@ -33,7 +33,7 @@ function pointerK(kx, ky, {x, y, px, py, maxRadius = 40, channels, render, ...op
       // the pointer (e.g., tips); only the closest point is shown.
       let state = states.get(svg);
       if (!state) {
-        state = {sticky: false, roots: [], renders: [], pool: this.pool ? {map: new Map()} : null};
+        state = {sticky: false, roots: [], renders: [], focus: new Map(), pool: this.pool ? {map: new Map()} : null};
         states.set(svg, state);
       }
 
@@ -122,10 +122,20 @@ function pointerK(kx, ky, {x, y, px, py, maxRadius = 40, channels, render, ...op
         }
         state.roots[renderIndex] = g = r;
 
+        // Record the focused datum of this rendered mark, if any. The plot’s
+        // value is that of the most recently focused pointer that is still
+        // active, so that clearing one pointer (e.g., a tip losing focus, or a
+        // pooled tip losing to a closer one) falls back to another pointer
+        // that is still focused rather than resetting the value to null.
+        const {focus} = state;
+        focus.delete(renderIndex);
+        if (i != null) focus.set(renderIndex, isArray(data) ? data[i] : data.get(i));
+
         // Dispatch the value. When simultaneously exiting this facet and
         // entering a new one, prioritize the entering facet.
         if (!(i == null && facetPool?.map.size > 1)) {
-          const value = i == null ? null : isArray(data) ? data[i] : data.get(i);
+          let value = null;
+          for (const v of focus.values()) value = v;
           context.dispatchValue(value);
         }
 
diff --git a/test/pointer-test.js b/test/pointer-test.js
index f00282f0ac..6e5ae42977 100644
--- a/test/pointer-test.js
+++ b/test/pointer-test.js
@@ -142,3 +142,55 @@ describe("pointer pool", () => {
     assert.strictEqual(visibleTips(svg), 0);
   });
 });
+
+describe("pointer value", () => {
+  let pointer, flushAnimationFrame;
+
+  beforeEach(() => ({pointer, flushAnimationFrame} = setup()));
+  afterEach(teardown);
+
+  it("falls back to another active pointer when one pointer clears", () => {
+    // A pointerY with an infinite radius stays active anywhere in the frame,
+    // while the dot’s tip is only active near the dot.
+    const svg = Plot.plot({
+      marks: [
+        Plot.frame(),
+        Plot.rect(["foo"], Plot.pointerY({y: (d) => d, maxRadius: Infinity, fill: "orange"})),
+        Plot.dot([{y: "foo"}], {y: "y", tip: true})
+      ]
+    });
+    pointer(svg, "pointerenter", 50, 40);
+    pointer(svg, "pointermove", 50, 40);
+    flushAnimationFrame();
+    assert.strictEqual(svg.value, "foo");
+    pointer(svg, "pointermove", 340, 40);
+    flushAnimationFrame();
+    assert.deepStrictEqual(svg.value, {y: "foo"});
+    pointer(svg, "pointermove", 50, 40);
+    flushAnimationFrame();
+    assert.strictEqual(svg.value, "foo");
+    pointer(svg, "pointerleave", 0, 0);
+    flushAnimationFrame();
+    assert.strictEqual(svg.value, null);
+  });
+
+  it("keeps the pooled winner’s value when the other pooled tips clear", () => {
+    const svg = Plot.plot({
+      marks: [
+        Plot.dot([{x: 0, y: "foo"}], {x: "x", y: "y", tip: {maxRadius: 1000}}),
+        Plot.dot([{x: 1, y: "foo"}], {x: "x", y: "y", tip: {maxRadius: 1000}})
+      ]
+    });
+    pointer(svg, "pointerenter", 50, 40);
+    pointer(svg, "pointermove", 50, 40);
+    flushAnimationFrame();
+    assert.deepStrictEqual(svg.value, {x: 0, y: "foo"});
+    pointer(svg, "pointermove", 620, 40);
+    flushAnimationFrame();
+    assert.deepStrictEqual(svg.value, {x: 1, y: "foo"});
+    pointer(svg, "pointermove", 50, 40);
+    flushAnimationFrame();
+    assert.deepStrictEqual(svg.value, {x: 0, y: "foo"});
+    assert.strictEqual(visibleTips(svg), 1);
+  });
+});