diff --git a/src/Psalm/Type/ParseTree.php b/src/Psalm/Type/ParseTree.php
index 7a45f9737..dd9bd682e 100644
--- a/src/Psalm/Type/ParseTree.php
+++ b/src/Psalm/Type/ParseTree.php
@@ -465,7 +465,7 @@ class ParseTree
                         case '::':
                             $nexter_token = $i + 2 < $c ? $type_tokens[$i + 2] : null;
 
-                            if (!$nexter_token || !preg_match('/^[A-Z_0-9]+$/', $nexter_token)) {
+                            if (!$nexter_token || !preg_match('/^[A-Z_][A-Z_0-9]*$/', $nexter_token)) {
                                 throw new TypeParseTreeException(
                                     'Invalid class constant ' . $nexter_token
                                 );
diff --git a/tests/EnumTest.php b/tests/EnumTest.php
index 664a78a83..2dff92a4b 100644
--- a/tests/EnumTest.php
+++ b/tests/EnumTest.php
@@ -156,6 +156,19 @@ class EnumTest extends TestCase
                     A::foo("for");',
                 'error_message' => 'InvalidArgument',
             ],
+            'selfClassConstBadValue' => [
+                '<?php
+                    class A {
+                        const FOO = "foo";
+                        const BAR = "bar";
+
+                        /**
+                         * @param (self::1FOO | self::BAR) $s
+                         */
+                        public static function foo(string $s) : void {}
+                    }',
+                'error_message' => 'InvalidDocblock',
+            ],
         ];
     }
 }