diff --git a/src/Psalm/Internal/Type/TypeParser.php b/src/Psalm/Internal/Type/TypeParser.php
index 136c8080081..e77bc710e87 100644
--- a/src/Psalm/Internal/Type/TypeParser.php
+++ b/src/Psalm/Internal/Type/TypeParser.php
@@ -411,11 +411,12 @@ function (ParseTree $child_tree) use ($codebase, $template_type_map, $type_alias
                 $parse_tree->children
             );
 
-            $onlyTKeyedArray = true;
-
             $first_type = \reset($intersection_types);
             $last_type = \end($intersection_types);
 
+            $onlyTKeyedArray = $first_type instanceof TKeyedArray
+                && $last_type instanceof TKeyedArray;
+
             foreach ($intersection_types as $intersection_type) {
                 if (!$intersection_type instanceof TKeyedArray
                     && ($intersection_type !== $first_type
diff --git a/tests/TypeParseTest.php b/tests/TypeParseTest.php
index e9abb4d9a75..69c753c8955 100644
--- a/tests/TypeParseTest.php
+++ b/tests/TypeParseTest.php
@@ -203,6 +203,12 @@ public function testIntersectionOfTKeyedArrayWithConflictingProperties(): void
         Type::parseString('array{a: string}&array{a: int}');
     }
 
+    public function testIntersectionOfTwoRegularArrays() : void
+    {
+        $this->expectException(\Psalm\Exception\TypeParseTreeException::class);
+        Type::parseString('string[]&array<string, string>');
+    }
+
     public function testUnionOfIntersectionOfTKeyedArray(): void
     {
         $this->assertSame('array{a: int|string, b?: int}', (string) Type::parseString('array{a: int}|array{a: string}&array{b: int}'));