Training can offset inflammation from short sleep (5 hours or less) for one to two days per week.

“You can offset the inflammation that arrives from getting five or fewer hours of sleep the previous night. With exercise. You just don't want to get into a habit of it. But if you're on the fence about whether or not to train because you're sleep-deprived, train, but don't do that more than one to two days per week ideally.”