Provided are a method, system, and article of manufacture for enabling access to remote storage for use with a backup program. Access is enabled to remote storage offered by an Internet Service on a remote server over the Internet. Indication is maintained of files on a source drive in a backup set to store on the remote storage that have a real-time backup status. Te backup set is stored on the remote storage. A modification to a file on the source drive is detected and a determination is made from the indication whether the file being modified is indicated as having the real-time backup status. The modification is transferred to the file to the backup set at the remote storage in response to determining that the file being modified is indicated as having the real time status.