I'm not a doctor, but I did have a torn ACL and did a good chunk of research prior to having surgery. Mine was partially torn and as long as I didn't do anything crazy things were fine. I could play golf but not basketball for example. Sharp lateral moves caused things to dislocate. Until it was reconstructed all those active sports were out. Turns out Bess says he doesn't have a tear, so it doesn't matter anyway.
So are you saying the ligament will actually heal itself, or just saying the knee will heal enough to function? My ortho told me it wasn't a tissue that healed on its own, nor could it be simply repaired. It need to be replaced/reconstructed.