diff --git a/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php b/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php
index 4f47489287a..078b0342e6f 100644
--- a/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php
+++ b/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php
@@ -248,6 +248,13 @@ protected function checkStandardConformingStringsSuccess() {
   public function checkExtensions() {
     $connection = Database::getConnection();
     try {
+      // Enable pg_trgm for PostgreSQL 13 or higher.
+      // @todo Remove this if-statement in D11 when the minimum required version
+      // for PostgreSQL becomes 13 or higher. https://www.drupal.org/i/3357409
+      if (version_compare($connection->version(), '13.0', '>=')) {
+        $connection->query('CREATE EXTENSION IF NOT EXISTS pg_trgm');
+      }
+
       if ($connection->schema()->extensionExists('pg_trgm')) {
         $this->pass(t('PostgreSQL has the pg_trgm extension enabled.'));
       }