I have a Wally World cheapo 4x12x40 Simmons on mine, I think I paid like $39 for it, mounted on the see-through (meaning "see-under") rings so that I can still use the regular sights.
The only thing that the 10/22 is used for is killing beer cans and endless plinking, so it works out fine.
(it's not the 2 Winchesters)