diff --git a/baselines/dom.generated.d.ts b/baselines/dom.generated.d.ts
index 0b09311f8..749287a6a 100644
--- a/baselines/dom.generated.d.ts
+++ b/baselines/dom.generated.d.ts
@@ -15697,8 +15697,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -28445,8 +28445,8 @@ interface IntersectionObserverCallback {
     (entries: IntersectionObserverEntry[], observer: IntersectionObserver): void;
 }
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface MediaSessionActionHandler {
diff --git a/baselines/serviceworker.generated.d.ts b/baselines/serviceworker.generated.d.ts
index d03491c69..9e9187f9d 100644
--- a/baselines/serviceworker.generated.d.ts
+++ b/baselines/serviceworker.generated.d.ts
@@ -3746,8 +3746,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -8522,8 +8522,8 @@ interface Console {
 
 declare var console: Console;
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/baselines/sharedworker.generated.d.ts b/baselines/sharedworker.generated.d.ts
index 80a7896f1..02ce26b81 100644
--- a/baselines/sharedworker.generated.d.ts
+++ b/baselines/sharedworker.generated.d.ts
@@ -3565,8 +3565,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -8460,8 +8460,8 @@ interface Console {
 
 declare var console: Console;
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/baselines/ts5.5/dom.generated.d.ts b/baselines/ts5.5/dom.generated.d.ts
index e1b9525bd..f7cd2658c 100644
--- a/baselines/ts5.5/dom.generated.d.ts
+++ b/baselines/ts5.5/dom.generated.d.ts
@@ -15677,8 +15677,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -28423,8 +28423,8 @@ interface IntersectionObserverCallback {
     (entries: IntersectionObserverEntry[], observer: IntersectionObserver): void;
 }
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface MediaSessionActionHandler {
diff --git a/baselines/ts5.5/serviceworker.generated.d.ts b/baselines/ts5.5/serviceworker.generated.d.ts
index d03491c69..9e9187f9d 100644
--- a/baselines/ts5.5/serviceworker.generated.d.ts
+++ b/baselines/ts5.5/serviceworker.generated.d.ts
@@ -3746,8 +3746,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -8522,8 +8522,8 @@ interface Console {
 
 declare var console: Console;
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/baselines/ts5.5/sharedworker.generated.d.ts b/baselines/ts5.5/sharedworker.generated.d.ts
index 80a7896f1..02ce26b81 100644
--- a/baselines/ts5.5/sharedworker.generated.d.ts
+++ b/baselines/ts5.5/sharedworker.generated.d.ts
@@ -3565,8 +3565,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -8460,8 +8460,8 @@ interface Console {
 
 declare var console: Console;
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/baselines/ts5.5/webworker.generated.d.ts b/baselines/ts5.5/webworker.generated.d.ts
index 8b2139eb6..196af85d1 100644
--- a/baselines/ts5.5/webworker.generated.d.ts
+++ b/baselines/ts5.5/webworker.generated.d.ts
@@ -4300,8 +4300,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -9627,8 +9627,8 @@ interface FrameRequestCallback {
     (time: DOMHighResTimeStamp): void;
 }
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/baselines/webworker.generated.d.ts b/baselines/webworker.generated.d.ts
index 8b2139eb6..196af85d1 100644
--- a/baselines/webworker.generated.d.ts
+++ b/baselines/webworker.generated.d.ts
@@ -4300,8 +4300,8 @@ interface LockManager {
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/query) */
     query(): Promise<LockManagerSnapshot>;
     /** [MDN Reference](https://developer.mozilla.org/docs/Web/API/LockManager/request) */
-    request(name: string, callback: LockGrantedCallback): Promise<any>;
-    request(name: string, options: LockOptions, callback: LockGrantedCallback): Promise<any>;
+    request<T>(name: string, callback: LockGrantedCallback<T>): Promise<T>;
+    request<T>(name: string, options: LockOptions, callback: LockGrantedCallback<T>): Promise<T>;
 }
 
 declare var LockManager: {
@@ -9627,8 +9627,8 @@ interface FrameRequestCallback {
     (time: DOMHighResTimeStamp): void;
 }
 
-interface LockGrantedCallback {
-    (lock: Lock | null): any;
+interface LockGrantedCallback<T> {
+    (lock: Lock | null): T;
 }
 
 interface OnErrorEventHandlerNonNull {
diff --git a/inputfiles/overridingTypes.jsonc b/inputfiles/overridingTypes.jsonc
index 417cc458e..54b76e393 100644
--- a/inputfiles/overridingTypes.jsonc
+++ b/inputfiles/overridingTypes.jsonc
@@ -467,6 +467,18 @@
                 "overrideSignatures": [
                     "new (options: any): AudioWorkletProcessorImpl"
                 ]
+            },
+            "LockGrantedCallback": {
+                "typeParameters": [
+                    {
+                        "name": "T"
+                    }
+                ],
+                "signature": {
+                    "0": {
+                        "overrideType": "T"
+                    }
+                }
             }
         }
     },
@@ -3643,6 +3655,47 @@
                         }
                     }
                 }
+            },
+            "LockManager": {
+                "methods": {
+                    "method": {
+                        "request": {
+                            "typeParameters": {
+                                "name": "T"
+                            },
+                            "signature": {
+                                "0": {
+                                    "typeParameters": [
+                                        {
+                                            "name": "T"
+                                        }
+                                    ],
+                                    "param": [
+                                        {
+                                            "name": "callback",
+                                            "overrideType": "LockGrantedCallback<T>"
+                                        }
+                                    ],
+                                    "overrideType": "Promise<T>"
+                                },
+                                "1": {
+                                    "typeParameters": [
+                                        {
+                                            "name": "T"
+                                        }
+                                    ],
+                                    "param": [
+                                        {
+                                            "name": "callback",
+                                            "overrideType": "LockGrantedCallback<T>"
+                                        }
+                                    ],
+                                    "overrideType": "Promise<T>"
+                                }
+                            }
+                        }
+                    }
+                }
             }
         }
     },