diff --git a/Internal/CurlClientState.php b/Internal/CurlClientState.php
index ee0bafc..2a15248 100644
--- a/Internal/CurlClientState.php
+++ b/Internal/CurlClientState.php
@@ -49,8 +49,8 @@ public function __construct(int $maxHostConnections, int $maxPendingPushes)
         if (\defined('CURLPIPE_MULTIPLEX')) {
             curl_multi_setopt($this->handle, \CURLMOPT_PIPELINING, \CURLPIPE_MULTIPLEX);
         }
-        if (\defined('CURLMOPT_MAX_HOST_CONNECTIONS')) {
-            $maxHostConnections = curl_multi_setopt($this->handle, \CURLMOPT_MAX_HOST_CONNECTIONS, 0 < $maxHostConnections ? $maxHostConnections : \PHP_INT_MAX) ? 0 : $maxHostConnections;
+        if (\defined('CURLMOPT_MAX_HOST_CONNECTIONS') && 0 < $maxHostConnections) {
+            $maxHostConnections = curl_multi_setopt($this->handle, \CURLMOPT_MAX_HOST_CONNECTIONS, $maxHostConnections) ? 4294967295 : $maxHostConnections;
         }
         if (\defined('CURLMOPT_MAXCONNECTS') && 0 < $maxHostConnections) {
             curl_multi_setopt($this->handle, \CURLMOPT_MAXCONNECTS, $maxHostConnections);
diff --git a/Tests/CurlHttpClientTest.php b/Tests/CurlHttpClientTest.php
index 03a939b..53307bf 100644
--- a/Tests/CurlHttpClientTest.php
+++ b/Tests/CurlHttpClientTest.php
@@ -138,4 +138,34 @@ public function testKeepAuthorizationHeaderOnRedirectToSameHostWithConfiguredHos
         $this->assertSame(200, $response->getStatusCode());
         $this->assertSame('/302', $response->toArray()['REQUEST_URI'] ?? null);
     }
+
+    /**
+     * @group integration
+     */
+    public function testMaxConnections()
+    {
+        foreach ($ports = [80, 8681, 8682, 8683, 8684] as $port) {
+            if (!($fp = @fsockopen('localhost', $port, $errorCode, $errorMessage, 2))) {
+                self::markTestSkipped('FrankenPHP is not running');
+            }
+            fclose($fp);
+        }
+
+        $httpClient = $this->getHttpClient(__FUNCTION__);
+
+        $expectedResults = [
+            [false, false, false, false, false],
+            [true, true, true, true, true],
+            [true, true, true, true, true],
+        ];
+
+        foreach ($expectedResults as $expectedResult) {
+            foreach ($ports as $i => $port) {
+                $response = $httpClient->request('GET', \sprintf('http://localhost:%s/http-client', $port));
+                $response->getContent();
+
+                self::assertSame($expectedResult[$i], str_contains($response->getInfo('debug'), 'Re-using existing connection'));
+            }
+        }
+    }
 }
diff --git a/Tests/Fixtures/response-functional/index.php b/Tests/Fixtures/response-functional/index.php
new file mode 100644
index 0000000..7a8076a
--- /dev/null
+++ b/Tests/Fixtures/response-functional/index.php
@@ -0,0 +1,12 @@
+<?php
+
+/*
+ * This file is part of the Symfony package.
+ *
+ * (c) Fabien Potencier <fabien@symfony.com>
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ */
+
+echo 'Success';