diff --git a/docs/api.md b/docs/api.md
index f89e308aa9c52..bf64c81f3d111 100644
--- a/docs/api.md
+++ b/docs/api.md
@@ -983,7 +983,7 @@ the method will return an array with all the targets in all browser contexts.
 
 #### browser.waitForTarget(predicate[, options])
 
-- `predicate` <[function]\([Target]\):[boolean]> A function to be run for every target
+- `predicate` <[function]\([Target]\):[boolean]|[Promise<boolean>]> A function to be run for every target
 - `options` <[Object]>
   - `timeout` <[number]> Maximum wait time in milliseconds. Pass `0` to disable the timeout. Defaults to 30 seconds.
 - returns: <[Promise]<[Target]>> Promise which resolves to the first target found that matches the `predicate` function.
@@ -1135,7 +1135,7 @@ An array of all active targets inside the browser context.
 
 #### browserContext.waitForTarget(predicate[, options])
 
-- `predicate` <[function]\([Target]\):[boolean]> A function to be run for every target
+- `predicate` <[function]\([Target]\):[boolean]|[Promise<boolean>]> A function to be run for every target
 - `options` <[Object]>
   - `timeout` <[number]> Maximum wait time in milliseconds. Pass `0` to disable the timeout. Defaults to 30 seconds.
 - returns: <[Promise]<[Target]>> Promise which resolves to the first target found that matches the `predicate` function.
diff --git a/experimental/puppeteer-firefox/lib/Browser.js b/experimental/puppeteer-firefox/lib/Browser.js
index 5d2169fe3969d..fd234500e2c9c 100644
--- a/experimental/puppeteer-firefox/lib/Browser.js
+++ b/experimental/puppeteer-firefox/lib/Browser.js
@@ -114,7 +114,7 @@ class Browser extends EventEmitter {
   }
 
   /**
-   * @param {function(!Target):boolean} predicate
+   * @param {function(!Target):boolean|Promise<boolean>} predicate
    * @param {{timeout?: number}=} options
    * @return {!Promise<!Target>}
    */
@@ -122,9 +122,6 @@ class Browser extends EventEmitter {
     const {
       timeout = 30000
     } = options;
-    const existingTarget = this.targets().find(predicate);
-    if (existingTarget)
-      return existingTarget;
     let resolve;
     const targetPromise = new Promise(x => resolve = x);
     this.on(Events.Browser.TargetCreated, check);
@@ -132,7 +129,21 @@ class Browser extends EventEmitter {
     try {
       if (!timeout)
         return await targetPromise;
-      return await helper.waitWithTimeout(targetPromise, 'target', timeout);
+      return await helper.waitWithTimeout(
+        Promise.race([
+          targetPromise,
+          (async () => {
+            for (const target of this.targets()) {
+              if (await predicate(target)) {
+                return target;
+              }
+            }
+            await targetPromise;
+          })(),
+        ]),
+        'target',
+        timeout
+      );
     } finally {
       this.removeListener(Events.Browser.TargetCreated, check);
       this.removeListener('targetchanged', check);
@@ -141,8 +152,8 @@ class Browser extends EventEmitter {
     /**
      * @param {!Target} target
      */
-    function check(target) {
-      if (predicate(target))
+    async function check(target) {
+      if (await predicate(target))
         resolve(target);
     }
   }
@@ -334,7 +345,7 @@ class BrowserContext extends EventEmitter {
   }
 
   /**
-   * @param {function(Target):boolean} predicate
+   * @param {function(Target):boolean|Promise<boolean>} predicate
    * @param {{timeout?: number}=} options
    * @return {!Promise<Target>}
    */
diff --git a/src/common/Browser.ts b/src/common/Browser.ts
index 497615e996acd..36dde2bf79dad 100644
--- a/src/common/Browser.ts
+++ b/src/common/Browser.ts
@@ -539,12 +539,10 @@ export class Browser extends EventEmitter {
    * ```
    */
   async waitForTarget(
-    predicate: (x: Target) => boolean,
+    predicate: (x: Target) => boolean | Promise<boolean>,
     options: WaitForTargetOptions = {}
   ): Promise<Target> {
     const { timeout = 30000 } = options;
-    const existingTarget = this.targets().find(predicate);
-    if (existingTarget) return existingTarget;
     let resolve: (value: Target | PromiseLike<Target>) => void;
     const targetPromise = new Promise<Target>((x) => (resolve = x));
     this.on(BrowserEmittedEvents.TargetCreated, check);
@@ -552,7 +550,17 @@ export class Browser extends EventEmitter {
     try {
       if (!timeout) return await targetPromise;
       return await helper.waitWithTimeout<Target>(
-        targetPromise,
+        Promise.race([
+          targetPromise,
+          (async () => {
+            for (const target of this.targets()) {
+              if (await predicate(target)) {
+                return target;
+              }
+            }
+            await targetPromise;
+          })(),
+        ]),
         'target',
         timeout
       );
@@ -561,8 +569,8 @@ export class Browser extends EventEmitter {
       this.removeListener(BrowserEmittedEvents.TargetChanged, check);
     }
 
-    function check(target: Target): void {
-      if (predicate(target)) resolve(target);
+    async function check(target: Target): Promise<void> {
+      if (await predicate(target)) resolve(target);
     }
   }
 
@@ -736,7 +744,7 @@ export class BrowserContext extends EventEmitter {
    * that matches the `predicate` function.
    */
   waitForTarget(
-    predicate: (x: Target) => boolean,
+    predicate: (x: Target) => boolean | Promise<boolean>,
     options: { timeout?: number } = {}
   ): Promise<Target> {
     return this._browser.waitForTarget(
diff --git a/test/target.spec.ts b/test/target.spec.ts
index 918510f1f0de4..d1081d65f838b 100644
--- a/test/target.spec.ts
+++ b/test/target.spec.ts
@@ -67,6 +67,30 @@ describe('Target', function () {
     ).toBe('Hello world');
     expect(await originalPage.$('body')).toBeTruthy();
   });
+  itFailsFirefox('should be able to use async waitForTarget', async () => {
+    const { page, server, context } = getTestState();
+
+    const [otherPage] = await Promise.all([
+      context
+        .waitForTarget((target) =>
+          target
+            .page()
+            .then(
+              (page) =>
+                page.url() === server.CROSS_PROCESS_PREFIX + '/empty.html'
+            )
+        )
+        .then((target) => target.page()),
+      page.evaluate(
+        (url: string) => window.open(url),
+        server.CROSS_PROCESS_PREFIX + '/empty.html'
+      ),
+    ]);
+    expect(otherPage.url()).toEqual(
+      server.CROSS_PROCESS_PREFIX + '/empty.html'
+    );
+    expect(page).not.toEqual(otherPage);
+  });
   itFailsFirefox(
     'should report when a new page is created and closed',
     async () => {