diff --git a/src/functions.php b/src/functions.php
index df50eb33..96106016 100644
--- a/src/functions.php
+++ b/src/functions.php
@@ -342,33 +342,58 @@ function _checkTypehint(callable $callback, \Throwable $reason): bool
         return true;
     }
 
-    $type = $parameters[0]->getType();
-
-    if (!$type) {
-        return true;
+    $expectedException = $parameters[0];
+
+    // Extract the type of the argument and handle different possibilities
+    $type = $expectedException->getType();
+    
+    $isTypeUnion = true;
+    $types = [];
+
+    switch (true) {
+        case $type === null:
+            break;
+        case $type instanceof \ReflectionNamedType:
+            $types = [$type];
+            break;
+        case $type instanceof \ReflectionIntersectionType:
+            $isTypeUnion = false;
+        case $type instanceof \ReflectionUnionType;
+            $types = $type->getTypes();
+            break;
+        default:
+            throw new \LogicException('Unexpected return value of ReflectionParameter::getType');
     }
 
-    $types = [$type];
-
-    if ($type instanceof \ReflectionUnionType) {
-        $types = $type->getTypes();
+    // If there is no type restriction, it matches
+    if (empty($types)) {
+        return true;
     }
 
-    $mismatched = false;
-
     foreach ($types as $type) {
-        if (!$type || $type->isBuiltin()) {
-            continue;
+        if (!$type instanceof \ReflectionNamedType) {
+            throw new \LogicException('This implementation does not support groups of intersection or union types');
         }
 
-        $expectedClass = $type->getName();
-
-        if ($reason instanceof $expectedClass) {
-            return true;
+        // A named-type can be either a class-name or a built-in type like string, int, array, etc.
+        $matches = ($type->isBuiltin() && \gettype($reason) === $type->getName())
+            || (new \ReflectionClass($type->getName()))->isInstance($reason);
+
+
+        // If we look for a single match (union), we can return early on match
+        // If we look for a full match (intersection), we can return early on mismatch
+        if ($matches) {
+            if ($isTypeUnion) {
+                return true;
+            }
+        } else {
+            if (!$isTypeUnion) {
+                return false;
+            }
         }
-
-        $mismatched = true;
     }
 
-    return !$mismatched;
+    // If we look for a single match (union) and did not return early, we matched no type and are false
+    // If we look for a full match (intersection) and did not return early, we matched all types and are true
+    return $isTypeUnion ? false : true;
 }
diff --git a/tests/FunctionCheckTypehintTest.php b/tests/FunctionCheckTypehintTest.php
index b6f8aef5..b263473e 100644
--- a/tests/FunctionCheckTypehintTest.php
+++ b/tests/FunctionCheckTypehintTest.php
@@ -85,7 +85,37 @@ public function shouldAcceptStaticClassCallbackWithUnionTypehint()
         self::assertFalse(_checkTypehint([CallbackWithUnionTypehintClass::class, 'testCallbackStatic'], new Exception()));
     }
 
-/** @test */
+    /**
+     * @test
+     * @requires PHP 8.1
+     */
+    public function shouldAcceptInvokableObjectCallbackWithIntersectionTypehint()
+    {
+        self::assertFalse(_checkTypehint(new CallbackWithIntersectionTypehintClass(), new \RuntimeException()));
+        self::assertTrue(_checkTypehint(new CallbackWithIntersectionTypehintClass(), new CountableException()));
+    }
+
+    /**
+     * @test
+     * @requires PHP 8.1
+     */
+    public function shouldAcceptObjectMethodCallbackWithIntersectionTypehint()
+    {
+        self::assertFalse(_checkTypehint([new CallbackWithIntersectionTypehintClass(), 'testCallback'], new \RuntimeException()));
+        self::assertTrue(_checkTypehint([new CallbackWithIntersectionTypehintClass(), 'testCallback'], new CountableException()));
+    }
+
+    /**
+     * @test
+     * @requires PHP 8.1
+     */
+    public function shouldAcceptStaticClassCallbackWithIntersectionTypehint()
+    {
+        self::assertFalse(_checkTypehint([CallbackWithIntersectionTypehintClass::class, 'testCallbackStatic'], new \RuntimeException()));
+        self::assertTrue(_checkTypehint([CallbackWithIntersectionTypehintClass::class, 'testCallbackStatic'], new CountableException()));
+    }
+
+    /** @test */
     public function shouldAcceptClosureCallbackWithoutTypehint()
     {
         self::assertTrue(_checkTypehint(function (InvalidArgumentException $e) {
diff --git a/tests/fixtures/CallbackWithIntersectionTypehintClass.php b/tests/fixtures/CallbackWithIntersectionTypehintClass.php
new file mode 100644
index 00000000..3e733476
--- /dev/null
+++ b/tests/fixtures/CallbackWithIntersectionTypehintClass.php
@@ -0,0 +1,21 @@
+<?php
+
+namespace React\Promise;
+
+use Countable;
+use RuntimeException;
+
+class CallbackWithIntersectionTypehintClass
+{
+    public function __invoke(RuntimeException&Countable $e)
+    {
+    }
+
+    public function testCallback(RuntimeException&Countable $e)
+    {
+    }
+
+    public static function testCallbackStatic(RuntimeException&Countable $e)
+    {
+    }
+}
diff --git a/tests/fixtures/CountableException.php b/tests/fixtures/CountableException.php
new file mode 100644
index 00000000..334cfe26
--- /dev/null
+++ b/tests/fixtures/CountableException.php
@@ -0,0 +1,15 @@
+<?php
+
+namespace React\Promise;
+
+use Countable;
+use RuntimeException;
+
+class CountableException extends RuntimeException implements Countable
+{
+    public function count(): int
+    {
+        return 0;
+    }
+}
+