diff --git a/src/Composer/DependencyResolver/Pool.php b/src/Composer/DependencyResolver/Pool.php
index 8db4e90a0..56f356baa 100644
--- a/src/Composer/DependencyResolver/Pool.php
+++ b/src/Composer/DependencyResolver/Pool.php
@@ -300,8 +300,14 @@ class Pool
             }
         }
 
+        if ($mustMatchName) {
+            return array_filter($matches, function ($match) use ($name) {
+                return $match->getName() == $name;
+            });
+        }
+
         // if a package with the required name exists, we ignore providers
-        if ($nameMatch || $mustMatchName) {
+        if ($nameMatch) {
             return $matches;
         }