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..45104b9cb30 100644
--- a/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php
+++ b/core/modules/pgsql/src/Driver/Database/pgsql/Install/Tasks.php
@@ -298,6 +298,13 @@ public function initializeDatabase() {
       }
       $connection->query('SELECT pg_advisory_unlock(1)');
 
+      // 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');
+      }
+
       $this->pass(t('PostgreSQL has initialized itself.'));
     }
     catch (\Exception $e) {