In a previous thread there are two posts that stood out for me in treating a strop. One is by 'honedright' here. Scott has studied barber manuals over the years and that is where he got his info and developed his method. The other is by strop maker Neil Miller here. Neil needs no introduction.

I've never done any of these methods on my strops. I just do the palm of the hand rub every now and again but some guys and the old barbers swore by them. I don't favor a strop with a lot of draw so if these methods improve draw I'm going to stay away from them and leave well enough alone. If you like a lot of draw, or at least more than you have , give it a try.