diff -u b/core/lib/Drupal/Core/Config/ConfigInstaller.php b/core/lib/Drupal/Core/Config/ConfigInstaller.php
--- b/core/lib/Drupal/Core/Config/ConfigInstaller.php
+++ b/core/lib/Drupal/Core/Config/ConfigInstaller.php
@@ -117,13 +117,15 @@
         $prefix = $name . '.';
       }
 
-      // Gets profile storages to search for overrides if necessary.
-      $profile_storages = $this->getProfileStorages($name);
+      // Gets profile storages to search for overrides if necessary but only if
+      // the configuration is being installed outside of a profile/site
+      // installation.
+      $profile_storages = $profile_installation ? [] : $this->getProfileStorages($name);
 
       // Gather information about all the supported collections.
       $collection_info = $this->configManager->getConfigCollectionInfo();
       foreach ($collection_info->getCollectionNames() as $collection) {
-        $config_to_create = $this->getConfigToCreate($storage, $collection, $prefix, $profile_storages, $profile_installation);
+        $config_to_create = $this->getConfigToCreate($storage, $collection, $prefix, $profile_storages);
         if (!empty($config_to_create)) {
           $this->createConfiguration($collection, $config_to_create);
         }
@@ -236,30 +238,24 @@
    * @param \Drupal\Core\Config\StorageInterface[] $profile_storages
    *   An array of storage interfaces containing profile configuration to check
    *   for overrides.
-   * @param bool $profile_installation
-   *   (optional) Indicates whether profile installation is running. Defaults
-   *   to FALSE.
    *
    * @return array
    *   An array of configuration data read from the source storage keyed by the
    *   configuration object name.
    */
-  protected function getConfigToCreate(StorageInterface $storage, $collection, $prefix = '', array $profile_storages = [], $profile_installation = FALSE) {
+  protected function getConfigToCreate(StorageInterface $storage, $collection, $prefix = '', array $profile_storages = []) {
     if ($storage->getCollectionName() != $collection) {
       $storage = $storage->createCollection($collection);
     }
     $data = $storage->readMultiple($storage->listAll($prefix));
 
-    if (!$profile_installation) {
-      // Check to see if the corresponding override storage has any overrides.
-      foreach ($profile_storages as $profile_storage) {
-        if ($profile_storage->getCollectionName() != $collection) {
-          $profile_storage = $profile_storage->createCollection($collection);
-        }
-        $data = $profile_storage->readMultiple(array_keys($data)) + $data;
+    // Check to see if the corresponding override storage has any overrides.
+    foreach ($profile_storages as $profile_storage) {
+      if ($profile_storage->getCollectionName() != $collection) {
+        $profile_storage = $profile_storage->createCollection($collection);
       }
+      $data = $profile_storage->readMultiple(array_keys($data)) + $data;
     }
-
     return $data;
   }
 
@@ -460,11 +456,13 @@
     $enabled_extensions = $this->getEnabledExtensions();
     // Add the extension that will be enabled to the list of enabled extensions.
     $enabled_extensions[] = $name;
-    // Gets profile storages to search for overrides if necessary.
-    $profile_storages = $this->getProfileStorages($name);
+    // Gets profile storages to search for overrides if necessary but only if
+    // the configuration is being installed outside of a profile/site
+    // installation.
+    $profile_storages = $profile_installation ? [] : $this->getProfileStorages($name);
 
     // Check the dependencies of configuration provided by the module.
-    list($invalid_default_config, $missing_dependencies) = $this->findDefaultConfigWithUnmetDependencies($storage, $enabled_extensions, $profile_storages, $profile_installation);
+    list($invalid_default_config, $missing_dependencies) = $this->findDefaultConfigWithUnmetDependencies($storage, $enabled_extensions, $profile_storages);
     if (!empty($invalid_default_config)) {
       throw UnmetDependenciesException::create($name, array_unique($missing_dependencies, SORT_REGULAR));
     }
@@ -499,9 +497,9 @@
    *     - An array that will be filled with the missing dependency names, keyed
    *       by the dependents' names.
    */
-  protected function findDefaultConfigWithUnmetDependencies(StorageInterface $storage, array $enabled_extensions, array $profile_storages = [], $profile_installation = FALSE) {
+  protected function findDefaultConfigWithUnmetDependencies(StorageInterface $storage, array $enabled_extensions, array $profile_storages = []) {
     $missing_dependencies = [];
-    $config_to_create = $this->getConfigToCreate($storage, StorageInterface::DEFAULT_COLLECTION, '', $profile_storages, $profile_installation);
+    $config_to_create = $this->getConfigToCreate($storage, StorageInterface::DEFAULT_COLLECTION, '', $profile_storages);
     $all_config = array_merge($this->configFactory->listAll(), array_keys($config_to_create));
     foreach ($config_to_create as $config_name => $config) {
       if ($missing = $this->getMissingDependencies($config_name, $config, $enabled_extensions, $all_config)) {