diff --git a/src/Client.php b/src/Client.php
index e05fa1b..a14967e 100644
--- a/src/Client.php
+++ b/src/Client.php
@@ -19,6 +19,7 @@ use Pock\Promise\HttpRejectedPromise;
 use Psr\Http\Client\ClientInterface;
 use Psr\Http\Message\RequestInterface;
 use Psr\Http\Message\ResponseInterface;
+use Throwable;
 
 /**
  * Class Client
@@ -31,14 +32,18 @@ class Client implements ClientInterface, HttpClient, HttpAsyncClient
     /** @var \Pock\MockInterface[] */
     private $mocks;
 
+    /** @var \Psr\Http\Client\ClientInterface|null */
+    private $fallbackClient;
+
     /**
      * Client constructor.
      *
      * @param \Pock\MockInterface[] $mocks
      */
-    public function __construct(array $mocks)
+    public function __construct(array $mocks, ?ClientInterface $fallbackClient = null)
     {
         $this->mocks = $mocks;
+        $this->fallbackClient = $fallbackClient;
     }
 
     /**
@@ -86,6 +91,14 @@ class Client implements ClientInterface, HttpClient, HttpAsyncClient
             }
         }
 
+        if (null !== $this->fallbackClient) {
+            try {
+                return new HttpFulfilledPromise($this->fallbackClient->sendRequest($request));
+            } catch (Throwable $throwable) {
+                return new HttpRejectedPromise($throwable);
+            }
+        }
+
         throw new UnsupportedRequestException();
     }
 }
diff --git a/src/PockBuilder.php b/src/PockBuilder.php
index cc40889..a28ee4a 100644
--- a/src/PockBuilder.php
+++ b/src/PockBuilder.php
@@ -12,6 +12,7 @@ namespace Pock;
 use Pock\Matchers\AnyRequestMatcher;
 use Pock\Matchers\HostMatcher;
 use Pock\Matchers\MultipleMatcher;
+use Psr\Http\Client\ClientInterface;
 
 /**
  * Class PockBuilder
@@ -33,6 +34,9 @@ class PockBuilder
     /** @var \Pock\MockInterface[] */
     private $mocks;
 
+    /** @var \Psr\Http\Client\ClientInterface|null */
+    private $fallbackClient;
+
     /**
      * PockBuilder constructor.
      */
@@ -48,7 +52,7 @@ class PockBuilder
      *
      * @return $this
      */
-    public function host(string $host): PockBuilder
+    public function matchHost(string $host): PockBuilder
     {
         $this->closePrevious();
         $this->matcher->addMatcher(new HostMatcher($host));
@@ -67,11 +71,26 @@ class PockBuilder
         $this->response = null;
         $this->throwable = null;
         $this->mocks = [];
+
+        return $this;
+    }
+
+    /**
+     * Sets fallback Client. It will be used if no request can be matched.
+     *
+     * @param \Psr\Http\Client\ClientInterface|null $fallbackClient
+     *
+     * @return \Pock\PockBuilder
+     */
+    public function setFallbackClient(?ClientInterface $fallbackClient = null): PockBuilder
+    {
+        $this->fallbackClient = $fallbackClient;
+        return $this;
     }
 
     public function getClient(): Client
     {
-        return new Client($this->mocks);
+        return new Client($this->mocks, $this->fallbackClient);
     }
 
     private function closePrevious(): void