diff -u b/core/modules/system/src/Form/ModulesUninstallForm.php b/core/modules/system/src/Form/ModulesUninstallForm.php
--- b/core/modules/system/src/Form/ModulesUninstallForm.php
+++ b/core/modules/system/src/Form/ModulesUninstallForm.php
@@ -120,6 +120,9 @@
     uasort($uninstallable, 'system_sort_modules_by_info_name');
     $validation_reasons = $this->moduleInstaller->validateUninstall(array_keys($uninstallable));
 
+    // Remove any profiles from the list.
+    $uninstallable = array_diff_key($uninstallable, $profiles);
+
     $form['uninstall'] = array('#tree' => TRUE);
     foreach ($uninstallable as $module_key => $module) {
       $name = $module->info['name'] ?: $module->getName();