A bag includes an outer body portion or outer shell which encloses a storage compartment. The bag also includes a pocket non-removably attached to the bag which is accessible through the outer body portion or outer shell and is freely contained within the storage compartment. The pocket is configured to retain a cover, which is non-removably attached thereto. The cover is a flexible material that is water resistant or water repellant. The cover can be collapsed and stored within the pocket or can be withdrawn from the pocket and spread over the outer body portion or outer shell of the bag, thereby protecting it, for example, from inclement weather.