diff --git a/src/Connection/Connection.php b/src/Connection/Connection.php
index 1faf1aea..4a83ecbb 100644
--- a/src/Connection/Connection.php
+++ b/src/Connection/Connection.php
@@ -27,7 +27,7 @@ interface Connection
     public function open() : Greeting;
 
     /**
-     * Closes an opened connection.
+     * Closes an opened connection (including a persistent one).
      */
     public function close() : void;
 
diff --git a/src/Connection/StreamConnection.php b/src/Connection/StreamConnection.php
index a59f9b02..499c3136 100644
--- a/src/Connection/StreamConnection.php
+++ b/src/Connection/StreamConnection.php
@@ -119,6 +119,12 @@ public function open() : Greeting
 
     public function close() : void
     {
+        // To close a previously opened persistent connection,
+        // we need to obtain its stream handler first
+        if (!$this->stream && $this->options['persistent']) {
+            $this->open();
+        }
+
         if ($this->stream) {
             /** @psalm-suppress InvalidPropertyAssignmentValue */
             \fclose($this->stream);