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 4f47489..4f77010 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 +298,15 @@ public function initializeDatabase() {
       }
       $connection->query('SELECT pg_advisory_unlock(1)');
 
+      /**
+       * @todo Remove this if-statement in Drupal 11 when the minimum required version for
+       * PostgreSQL becomes 14.
+       */
+      // If we are running PostgreSQL >= 13, enable the pg_trgm extension.
+      if (version_compare($connection->version(), '13.0.0', '>=')) {
+        $connection->query('CREATE EXTENSION IF NOT EXISTS pg_trgm');
+      }
+
       $this->pass(t('PostgreSQL has initialized itself.'));
     }
     catch (\Exception $e) {