diff --git a/CHANGELOG.md b/CHANGELOG.md
index 13a7e05fb..eeeae2b11 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -177,6 +177,7 @@ Inspired from [Keep a Changelog](https://keepachangelog.com/en/1.0.0/)
 - Fixed mapping and analysis types ([#600](https://github.com/opensearch-project/opensearch-api-specification/pull/600))
 - Fixed `RestStatus` responses in `DELETE /_plugins/_notifications/configs/{config_id}` ([#594](https://github.com/opensearch-project/opensearch-api-specification/pull/594))
 - Fixed `GET /_snapshot_/{repository}/{snapshot}` ([#608](https://github.com/opensearch-project/opensearch-api-specification/pull/608))
+- Fixed `POST /_snapshot/{repository}/{snapshot}/_restore` when `wait_for_completion` is `false` and `GET /{index}/_recovery` ([#611](https://github.com/opensearch-project/opensearch-api-specification/pull/611))
 
 ### Security
 
diff --git a/spec/namespaces/snapshot.yaml b/spec/namespaces/snapshot.yaml
index 58ad5f82e..d81a5b173 100644
--- a/spec/namespaces/snapshot.yaml
+++ b/spec/namespaces/snapshot.yaml
@@ -383,7 +383,7 @@ components:
             type: object
             properties:
               accepted:
-                description: Equals `true` if the snapshot was accepted. Present when the request had `wait_for_completion` set to `false`
+                description: Returns `true` if the snapshot was accepted. Present when the request had `wait_for_completion` set to `false`.
                 type: boolean
               snapshot:
                 $ref: '../schemas/snapshot._common.yaml#/components/schemas/SnapshotInfo'
@@ -427,10 +427,11 @@ components:
           schema:
             type: object
             properties:
+              accepted:
+                description: Returns `true` if the restore was accepted. Present when the request had `wait_for_completion` set to `false`.
+                type: boolean
               snapshot:
                 $ref: '../schemas/snapshot.restore.yaml#/components/schemas/SnapshotRestore'
-            required:
-              - snapshot
     snapshot.status@200:
       content:
         application/json:
diff --git a/spec/schemas/indices.recovery.yaml b/spec/schemas/indices.recovery.yaml
index d2b781830..17019bfad 100644
--- a/spec/schemas/indices.recovery.yaml
+++ b/spec/schemas/indices.recovery.yaml
@@ -175,6 +175,14 @@ components:
           $ref: '_common.yaml#/components/schemas/Uuid'
         index:
           $ref: '_common.yaml#/components/schemas/IndexName'
+        isSearchableSnapshot:
+          type: boolean
+        remoteStoreIndexShallowCopy:
+          type: boolean
+        sourceRemoteStoreRepository:
+          type: ['null', string]
+        sourceRemoteTranslogRepository:
+          type: ['null', string]
     RecoveryStartStatus:
       type: object
       properties:
diff --git a/tests/snapshot/snapshot/restore.yaml b/tests/snapshot/snapshot/restore.yaml
new file mode 100644
index 000000000..970a39f00
--- /dev/null
+++ b/tests/snapshot/snapshot/restore.yaml
@@ -0,0 +1,101 @@
+$schema: ../../../json_schemas/test_story.schema.yaml
+
+description: Test _snapshot/{repository}/{snapshot}/_restore endpoints.
+epilogues:
+  - path: /_snapshot/{repository}/{snapshot}
+    method: DELETE
+    status: [200, 404]
+    parameters:
+      repository: my-fs-repository
+      snapshot: my-test-snapshot
+  - path: /_snapshot/{repository}
+    method: DELETE
+    status: [200, 404]
+    parameters:
+      repository: my-fs-repository
+  - path: /movies
+    method: DELETE
+    status: [200, 404]
+  - path: /books
+    method: DELETE
+    status: [200, 404]
+prologues:
+  - path: /_snapshot/{repository}
+    method: PUT
+    parameters:
+      repository: my-fs-repository
+    request:
+      payload:
+        type: fs
+        settings:
+          location: /tmp/opensearch/repo
+  - path: /movies
+    method: PUT
+  - path: /books
+    method: PUT
+  - path: /_snapshot/{repository}/{snapshot}
+    method: PUT
+    parameters:
+      repository: my-fs-repository
+      snapshot: my-test-snapshot
+      wait_for_completion: true
+    request:
+      payload:
+        indices:
+          - books
+          - movies
+        ignore_unavailable: true
+        include_global_state: false
+        partial: true
+  - path: /movies
+    method: DELETE
+    status: [200, 404]
+  - path: /books
+    method: DELETE
+    status: [200, 404]
+chapters:
+  - synopsis: Restore snapshot with wait_for_completion true.
+    path: /_snapshot/{repository}/{snapshot}/_restore
+    method: POST
+    parameters:
+      repository: my-fs-repository
+      snapshot: my-test-snapshot
+      wait_for_completion: true
+    request:
+      payload:
+        indices: movies
+    response:
+      status: 200
+      payload:
+        snapshot:
+          snapshot: my-test-snapshot
+  - synopsis: Restore snapshot with wait_for_completion false.
+    path: /_snapshot/{repository}/{snapshot}/_restore
+    method: POST
+    parameters:
+      repository: my-fs-repository
+      snapshot: my-test-snapshot
+      wait_for_completion: false
+    request:
+      payload:
+        indices: books
+    response:
+      status: 200
+      payload:
+        accepted: true
+  - synopsis: Wait finish async restore.
+    path: /{index}/_recovery
+    warnings:
+      multiple-paths-detected: false
+    method: GET
+    parameters:
+      index: books
+    response:
+      status: 200
+      payload:
+        books:
+          shards:
+            - stage: DONE
+              type: SNAPSHOT
+    retry:
+      count: 3
\ No newline at end of file