diff --git a/app/controllers/application_controller.rb b/app/controllers/application_controller.rb
index 6e98d66d712..7321f719deb 100644
--- a/app/controllers/application_controller.rb
+++ b/app/controllers/application_controller.rb
@@ -440,6 +440,8 @@ class ApplicationController < ActionController::Base
   end
 
   def set_session_storage(&block)
+    return yield if sessionless_user?
+
     Gitlab::Session.with_session(session, &block)
   end
 
diff --git a/app/controllers/projects/git_http_client_controller.rb b/app/controllers/projects/git_http_client_controller.rb
index 7a80da53025..956093b972b 100644
--- a/app/controllers/projects/git_http_client_controller.rb
+++ b/app/controllers/projects/git_http_client_controller.rb
@@ -15,6 +15,7 @@ class Projects::GitHttpClientController < Projects::ApplicationController
   alias_method :authenticated_user, :actor
 
   # Git clients will not know what authenticity token to send along
+  skip_around_action :set_session_storage
   skip_before_action :verify_authenticity_token
   skip_before_action :repository
   before_action :authenticate_user
diff --git a/changelogs/unreleased/ce-jej-fix-git-http-with-sso-enforcement.yml b/changelogs/unreleased/ce-jej-fix-git-http-with-sso-enforcement.yml
new file mode 100644
index 00000000000..a795e33b00d
--- /dev/null
+++ b/changelogs/unreleased/ce-jej-fix-git-http-with-sso-enforcement.yml
@@ -0,0 +1,5 @@
+---
+title: Avoid setting Gitlab::Session on sessionless requests and Git HTTP
+merge_request: 29146
+author:
+type: fixed
diff --git a/spec/controllers/application_controller_spec.rb b/spec/controllers/application_controller_spec.rb
index 5ecd1b6b7c8..40669ec5451 100644
--- a/spec/controllers/application_controller_spec.rb
+++ b/spec/controllers/application_controller_spec.rb
@@ -691,4 +691,38 @@ describe ApplicationController do
       end
     end
   end
+
+  context 'Gitlab::Session' do
+    controller(described_class) do
+      prepend_before_action do
+        authenticate_sessionless_user!(:rss)
+      end
+
+      def index
+        if Gitlab::Session.current
+          head :created
+        else
+          head :not_found
+        end
+      end
+    end
+
+    it 'is set on web requests' do
+      sign_in(user)
+
+      get :index
+
+      expect(response).to have_gitlab_http_status(:created)
+    end
+
+    context 'with sessionless user' do
+      it 'is not set' do
+        personal_access_token = create(:personal_access_token, user: user)
+
+        get :index, format: :atom, params: { private_token: personal_access_token.token }
+
+        expect(response).to have_gitlab_http_status(:not_found)
+      end
+    end
+  end
 end