They will probably only scrape off the basics of the movie.
Man from the future is sent to the past to find the origins of the disease believed to have destroyed mankind. While there, he determines the true cause.. does he allow it to happen, or does he interfere with the hope of changing the future.
If there's any future-changing, it won't even be the basics of the movie.
This is a terrible idea. The movie had finite loops of time which were resolved perfectly in its running time. Stretching the time indefinitely for weeks and months would dilute that impact of that aspect so much I'd say, why bother? But someone once thought t would be a good idea to make a TV series of Casablanca