diff --git a/src/Psalm/Internal/Analyzer/TypeAnalyzer.php b/src/Psalm/Internal/Analyzer/TypeAnalyzer.php
index b813ad7f5f2..d7850e5b36e 100644
--- a/src/Psalm/Internal/Analyzer/TypeAnalyzer.php
+++ b/src/Psalm/Internal/Analyzer/TypeAnalyzer.php
@@ -664,7 +664,10 @@ private static function isObjectContainedByObject(
                     || $intersection_input_type instanceof TTemplateParam
                 ) {
                     if ($intersection_container_type_lower === $intersection_input_type_lower) {
-                        if ($container_was_static && !$input_was_static) {
+                        if ($container_was_static
+                            && !$input_was_static
+                            && !$intersection_input_type instanceof TTemplateParam
+                        ) {
                             if ($atomic_comparison_result) {
                                 $atomic_comparison_result->type_coerced = true;
                             }
diff --git a/tests/Template/ClassTemplateExtendsTest.php b/tests/Template/ClassTemplateExtendsTest.php
index d339acbac09..6c308c96847 100644
--- a/tests/Template/ClassTemplateExtendsTest.php
+++ b/tests/Template/ClassTemplateExtendsTest.php
@@ -3591,6 +3591,62 @@ public function i($changedArgumentName): void {
                         }
                     }'
             ],
+            'acceptTemplatedObjectAsStaticParam' => [
+                '<?php
+                    /**
+                     * @psalm-immutable
+                     */
+                    abstract class Id
+                    {
+                        protected string $id;
+
+                        final protected function __construct(string $id)
+                        {
+                            $this->id = $id;
+                        }
+
+                        /**
+                         * @param static $id
+                         */
+                        final public function equals(self $id): bool
+                        {
+                            return $this->id === $id->id;
+                        }
+                    }
+
+                    /**
+                     * @template T of Id
+                     */
+                    final class Ids
+                    {
+                        /**
+                         * @psalm-var list<T>
+                         */
+                        private array $ids;
+
+                        /**
+                         * @psalm-param list<T> $ids
+                         */
+                        private function __construct(array $ids)
+                        {
+                            $this->ids = $ids;
+                        }
+
+                        /**
+                         * @psalm-param T $id
+                         */
+                        public function contains(Id $id): bool
+                        {
+                            foreach ($this->ids as $oneId) {
+                                if ($oneId->equals($id)) {
+                                    return true;
+                                }
+                            }
+
+                            return false;
+                        }
+                    }'
+            ],
         ];
     }