diff --git a/server/src/computer/snapshot-store.ts b/server/src/computer/snapshot-store.ts
index 157638f5..450c31fc 100644
--- a/server/src/computer/snapshot-store.ts
+++ b/server/src/computer/snapshot-store.ts
@@ -145,6 +145,13 @@ export function createInMemorySnapshotStore(): SnapshotStore {
   const snapshots = new Map<string, StoredSnapshot>();
   return {
     save: async (computerId, snapshot) => {
+      // Only ever forward, the same rule the table's `setWhere` applies, because the two stores have
+      // to agree about when a save wins. Two snapshots of one computer can complete out of order in a
+      // single process as easily as across two, and a test that reaches for this store because it has
+      // no database would otherwise be told a different story about what the gateway resolves
+      // against: the older page here, the newer one in a deployment.
+      const held = snapshots.get(computerId);
+      if (held && held.snapshotId >= snapshot.snapshotId) return;
       snapshots.set(computerId, snapshot);
     },
     load: async (computerId) => snapshots.get(computerId),
diff --git a/server/tests/computer-snapshot-store.test.ts b/server/tests/computer-snapshot-store.test.ts
index c0fedd28..3f30d10e 100644
--- a/server/tests/computer-snapshot-store.test.ts
+++ b/server/tests/computer-snapshot-store.test.ts
@@ -67,6 +67,35 @@ describe("the in-memory snapshot store", () => {
     expect(loaded?.elements.get("e9")?.name).toBe("Cancel");
   });
 
+  test("an older snapshot arriving late does not overwrite the newer one", async () => {
+    // The property #46 established, asked of this store rather than of the table. A test that reaches
+    // for the in-memory store because it has no database must not be told a different story about
+    // when a save wins: two snapshots of one computer can complete out of order here too, and the
+    // generation is what decides between them in both implementations.
+    const store = createInMemorySnapshotStore();
+    await store.save(
+      "default",
+      snapshot(8, [{ ref: "e9", role: "button", name: "Cancel" }]),
+    );
+
+    await store.save(
+      "default",
+      snapshot(7, [{ ref: "e9", role: "button", name: "Submit order" }]),
+    );
+
+    // A save of the generation already held loses too, the way `setWhere`'s `lt` refuses it: the
+    // stored snapshot is the one that generation named, and a second delivery of it carries nothing
+    // newer to say.
+    await store.save(
+      "default",
+      snapshot(8, [{ ref: "e9", role: "button", name: "Submit order" }]),
+    );
+
+    const loaded = await store.load("default");
+    expect(loaded?.snapshotId).toBe(8);
+    expect(loaded?.elements.get("e9")?.name).toBe("Cancel");
+  });
+
   test("clearing forgets the snapshot, so nothing resolves against a wiped computer", async () => {
     const store = createInMemorySnapshotStore();
     await store.save(