diff --git a/qa/qa/specs/features/api/1_manage/import/import_github_repo_spec.rb b/qa/qa/specs/features/api/1_manage/import/import_github_repo_spec.rb
index 56931832629bc377d2475e4bf755666867f5e117..81db4189af4c1c7bb8cf416618cb5c1b7631339b 100644
--- a/qa/qa/specs/features/api/1_manage/import/import_github_repo_spec.rb
+++ b/qa/qa/specs/features/api/1_manage/import/import_github_repo_spec.rb
@@ -10,7 +10,12 @@ module QA
       end
 
       context 'when imported via api' do
-        it 'imports project', testcase: 'https://gitlab.com/gitlab-org/gitlab/-/quality/test_cases/347670' do
+        it 'imports project',
+          quarantine: {
+            issue: 'https://gitlab.com/gitlab-org/quality/e2e-test-issues/-/issues/789',
+            type: :investigating
+          },
+          testcase: 'https://gitlab.com/gitlab-org/gitlab/-/quality/test_cases/347670' do
           expect_project_import_finished_successfully
 
           aggregate_failures do
diff --git a/qa/qa/specs/features/ee/api/1_manage/import/import_github_repo_spec.rb b/qa/qa/specs/features/ee/api/1_manage/import/import_github_repo_spec.rb
index ff9b31fdd141aae0ee2aa3ef8bc834c24e24195c..75fe0e13838bec2a4e77faafd32fffc4fb90f91f 100644
--- a/qa/qa/specs/features/ee/api/1_manage/import/import_github_repo_spec.rb
+++ b/qa/qa/specs/features/ee/api/1_manage/import/import_github_repo_spec.rb
@@ -10,7 +10,12 @@ module QA
           QA::Support::Helpers::ImportSource.enable('github')
         end
 
-        it 'imports repo push rules', testcase: 'https://gitlab.com/gitlab-org/gitlab/-/quality/test_cases/379494' do
+        it 'imports repo push rules',
+          quarantine: {
+            issue: 'https://gitlab.com/gitlab-org/quality/e2e-test-issues/-/issues/790',
+            type: :investigating
+          },
+          testcase: 'https://gitlab.com/gitlab-org/gitlab/-/quality/test_cases/379494' do
           expect_project_import_finished_successfully
 
           aggregate_failures do