diff --git a/core/includes/install.inc b/core/includes/install.inc
index e806a09a41..3bb7241bcc 100644
--- a/core/includes/install.inc
+++ b/core/includes/install.inc
@@ -8,6 +8,7 @@
 use Drupal\Component\Utility\OpCodeCache;
 use Drupal\Component\Utility\Unicode;
 use Drupal\Component\Utility\UrlHelper;
+use Drupal\Core\Database\Database;
 use Drupal\Core\Extension\Dependency;
 use Drupal\Core\Extension\ExtensionDiscovery;
 use Drupal\Core\Installer\InstallerKernel;
@@ -611,6 +612,20 @@ function drupal_install_system($install_state) {
     ->set('profile', $install_state['parameters']['profile'])
     ->save();
 
+  // When the database driver is provided by a module, then install that module.
+  if ($connection = Database::getConnection()) {
+    if ($module = $connection->getModuleName()) {
+      $autoload = $connection->getConnectionOptions()['autoload'] ?? '';
+      if (($pos = strpos($autoload, 'src/Driver/Database/')) !== FALSE) {
+        $module_info_yml = substr($autoload, 0, $pos) . $module . '.info.yml';
+        if (file_exists($module_info_yml)) {
+          \Drupal::service('extension.list.module')->setPathname($module, $module_info_yml);
+          $kernel->getContainer()->get('module_installer')->install([$module], FALSE);
+        }
+      }
+    }
+  }
+
   // Install System module and rebuild the newly available routes.
   $kernel->getContainer()->get('module_installer')->install(['system'], FALSE);
   \Drupal::service('router.builder')->rebuild();
diff --git a/core/lib/Drupal/Core/Database/Connection.php b/core/lib/Drupal/Core/Database/Connection.php
index c6ce48e523..0bb0e6e7f1 100644
--- a/core/lib/Drupal/Core/Database/Connection.php
+++ b/core/lib/Drupal/Core/Database/Connection.php
@@ -1820,4 +1820,22 @@ public static function createUrlFromConnectionOptions(array $connection_options)
     return $db_url;
   }
 
+  /**
+   * Get the module name of the module that is providing the database driver.
+   *
+   * @return string|false
+   *   The module name of the module that is providing the database driver, or
+   *   false when there is no providing module.
+   */
+  public function getModuleName() {
+    [$first, $second] = explode('\\', $this->connectionOptions['namespace'], 3);
+
+    // The namespace for Drupal modules is Drupal\MODULE_NAME, and the module
+    // name must be all lowercase. Second-level namespaces containing uppercase
+    // letters (e.g., "Core", "Component", "Driver") are not modules.
+    // @see \Drupal\Core\DrupalKernel::getModuleNamespacesPsr4()
+    // @see https://www.drupal.org/docs/8/creating-custom-modules/naming-and-placing-your-drupal-8-module#s-name-your-module
+    return ($first === 'Drupal' && strtolower($second) === $second) ? $second : FALSE;
+  }
+
 }
diff --git a/core/tests/Drupal/FunctionalTests/Installer/InstallerNonDefaultDatabaseDriverTest.php b/core/tests/Drupal/FunctionalTests/Installer/InstallerNonDefaultDatabaseDriverTest.php
index fd2400a6ca..eb70c8983f 100644
--- a/core/tests/Drupal/FunctionalTests/Installer/InstallerNonDefaultDatabaseDriverTest.php
+++ b/core/tests/Drupal/FunctionalTests/Installer/InstallerNonDefaultDatabaseDriverTest.php
@@ -3,6 +3,7 @@
 namespace Drupal\FunctionalTests\Installer;
 
 use Drupal\Core\Database\Database;
+use Drupal\Core\Extension\Extension;
 
 /**
  * Tests the interactive installer.
@@ -60,6 +61,9 @@ public function testInstalled() {
     $this->assertStringContainsString("'namespace' => 'Drupal\\\\driver_test\\\\Driver\\\\Database\\\\{$this->testDriverName}',", $contents);
     $this->assertStringContainsString("'driver' => '{$this->testDriverName}',", $contents);
     $this->assertStringContainsString("'autoload' => 'core/modules/system/tests/modules/driver_test/src/Driver/Database/{$this->testDriverName}/',", $contents);
+
+    // Assert that the module "driver_test" has been installed.
+    $this->assertEquals(\Drupal::service('module_handler')->getModule('driver_test'), new Extension($this->root, 'module', 'core/modules/system/tests/modules/driver_test/driver_test.info.yml'));
   }
 
 }