diff --git a/types/wordpress__blocks/index.d.ts b/types/wordpress__blocks/index.d.ts
index 51601c1e9c26b8..81f08d541a174d 100644
--- a/types/wordpress__blocks/index.d.ts
+++ b/types/wordpress__blocks/index.d.ts
@@ -1,5 +1,5 @@
 import { IconType } from "@wordpress/components";
-import { StoreDescriptor } from "@wordpress/data";
+import { ReduxStoreConfig, StoreDescriptor } from "@wordpress/data";
 import { ShortcodeMatch } from "@wordpress/shortcode";
 import { ComponentType, ReactElement } from "react";
 
@@ -7,11 +7,24 @@ export * from "./api";
 export { withBlockContentContext } from "./block-content-provider";
 
 declare module "@wordpress/data" {
+    /**
+     * @deprecated Use the version that takes a store descriptor object instead
+     */
     function dispatch(key: "core/blocks"): typeof import("./store/actions");
+    /**
+     * @deprecated Use the version that takes a store descriptor object instead
+     */
     function select(key: "core/blocks"): typeof import("./store/selectors");
 }
 
-export interface BlocksStoreDescriptor extends StoreDescriptor {
+type Decurry<S extends { [key: string]: (...args: any[]) => any }> = {
+    [key in keyof S]: (state: any, ...args: Parameters<S[key]>) => ReturnType<S[key]>;
+};
+export interface BlocksStoreDescriptor extends
+    StoreDescriptor<
+        ReduxStoreConfig<any, typeof import("./store/actions"), Decurry<typeof import("./store/selectors")>>
+    >
+{
     name: "core/blocks";
 }
 
diff --git a/types/wordpress__blocks/wordpress__blocks-tests.tsx b/types/wordpress__blocks/wordpress__blocks-tests.tsx
index b9863663530dba..2d1ce9a7291c60 100644
--- a/types/wordpress__blocks/wordpress__blocks-tests.tsx
+++ b/types/wordpress__blocks/wordpress__blocks-tests.tsx
@@ -721,3 +721,28 @@ dispatch("core/blocks").addBlockStyles("my/foo", { name: "foo__bar", label: "Foo
 
 // $ExpectType void
 dispatch("core/blocks").setDefaultBlockName("my/foo");
+
+//
+// store objects
+// ----------------------------------------------------------------------------
+
+// $ExpectType readonly BlockStyle[] | undefined
+select(blocks.store).getBlockStyles("my/foo");
+
+// $ExpectType string | undefined
+select(blocks.store).getFreeformFallbackBlockName();
+
+// $ExpectType string | undefined
+select(blocks.store).getUnregisteredFallbackBlockName();
+
+// $ExpectType boolean
+select(blocks.store).isMatchingSearchTerm("my/foo", "foo");
+
+// $ExpectType boolean
+select(blocks.store).isMatchingSearchTerm(BLOCK, "foo");
+
+// $ExpectType Promise<void>
+dispatch(blocks.store).addBlockStyles("my/foo", { name: "foo__bar", label: "Foobar" });
+
+// $ExpectType Promise<void>
+dispatch(blocks.store).setDefaultBlockName("my/foo");