diff --git a/composer.json b/composer.json
index 77f6f4b..d59be41 100644
--- a/composer.json
+++ b/composer.json
@@ -14,8 +14,8 @@
         "php": ">=7.1",
         "nikic/fast-route": "^1.3",
         "react/async": "^4 || ^3",
-        "react/http": "^1.7",
-        "react/promise": "^2.7"
+        "react/http": "^1.8@dev || ^1.7",
+        "react/promise": "^3@dev || ^2.7"
     },
     "require-dev": {
         "phpunit/phpunit": "^9.5 || ^7.5",
diff --git a/src/ErrorHandler.php b/src/ErrorHandler.php
index 39d691a..b70f53c 100644
--- a/src/ErrorHandler.php
+++ b/src/ErrorHandler.php
@@ -48,10 +48,13 @@ public function __invoke(ServerRequestInterface $request, callable $next)
                     return $this->errorInvalidResponse($response);
                 }
             }, function ($e) {
+                // Promise rejected, always a `\Throwable` as of Promise v3
+                assert($e instanceof \Throwable || !\method_exists(PromiseInterface::class, 'catch'));
+
                 if ($e instanceof \Throwable) {
                     return $this->errorInvalidException($e);
                 } else {
-                    return $this->errorInvalidResponse(\React\Promise\reject($e));
+                    return $this->errorInvalidResponse(\React\Promise\reject($e)); // @codeCoverageIgnore
                 }
             });
         } elseif ($response instanceof \Generator) {
diff --git a/tests/AppTest.php b/tests/AppTest.php
index 481e52f..a3bfacf 100644
--- a/tests/AppTest.php
+++ b/tests/AppTest.php
@@ -1534,6 +1534,10 @@ public function testHandleRequestWithMatchingRouteReturnsPromiseWhichFulfillsWit
 
     public function testHandleRequestWithMatchingRouteReturnsPromiseWhichFulfillsWithInternalServerErrorResponseWhenHandlerReturnsPromiseWhichRejectsWithNull()
     {
+        if (method_exists(PromiseInterface::class, 'catch')) {
+            $this->markTestSkipped('Only supported for legacy Promise v2, Promise v3 already rejects with Throwable');
+        }
+
         $app = $this->createAppWithoutLogger();
 
         $app->get('/users', function () {
diff --git a/tests/ErrorHandlerTest.php b/tests/ErrorHandlerTest.php
index 7acc3f0..95bef28 100644
--- a/tests/ErrorHandlerTest.php
+++ b/tests/ErrorHandlerTest.php
@@ -273,6 +273,10 @@ public function testInvokeWithHandlerReturningPromiseResolvingWithNullReturnsPro
 
     public function testInvokeWithHandlerReturningPromiseRejectingWithNullReturnsPromiseResolvingWithError500Response()
     {
+        if (method_exists(PromiseInterface::class, 'catch')) {
+            $this->markTestSkipped('Only supported for legacy Promise v2, Promise v3 already rejects with Throwable');
+        }
+
         $handler = new ErrorHandler();
 
         $request = new ServerRequest('GET', 'http://example.com/');