I think it depends on what
I think it depends on what you are recovering from exactly (in your case, the type of injury) and how much pain tolerance you have.
I'm at about 5 miles per run, shooting for 3 runs per week right now. It is quite painful in the beginning of the run and the end of the run. I feel okay-enough during the middle of the run. This surgery has been a beeatch. (Surgery unrelated to running barefoot, more related to running shod, for those who don't know.) Since I have been at a standstill in my recovery for a number of weeks, I know I won't make my condition any worse.
With you, I would be concerned about recreating the problem on your good foot by favoring your weakened foot. When you do decide to run again, make sure you run balanced, step lightly, and keep your speed slow and distance short. Good luck, Zum.