diff --git a/tests/StreamTest.php b/tests/StreamTest.php
index a100ebd7..90fc58dd 100644
--- a/tests/StreamTest.php
+++ b/tests/StreamTest.php
@@ -300,6 +300,16 @@ public function readableModeProvider()
         ];
     }
 
+    public function testStreamIsNotReadable()
+    {
+        $r = fopen('php://output', 'w');
+        $stream = new Stream($r);
+
+        $this->assertFalse($stream->isReadable());
+
+        $stream->close();
+    }
+
     /**
      * @dataProvider writableModeProvider
      *
@@ -338,6 +348,16 @@ public function writableModeProvider()
             ['a+'],
         ];
     }
+
+    public function testStreamIsNotWritable()
+    {
+        $r = fopen('php://input', 'r');
+        $stream = new Stream($r);
+
+        $this->assertFalse($stream->isWritable());
+
+        $stream->close();
+    }
 }
 
 namespace GuzzleHttp\Psr7;