Old winches and new sheets

[seawolf]

Hello all,
I have replaced my old jib sheets with new 3/8 inch double braid.
The winches I have on my 1962 Columbia 29 are original, so the drums are pretty slick.
So, needless to say, I need a lot of wraps around the winch to create enough friction, especially when the wind pipes up. Also requires more force on the tailing end of the line.
Question:
Is there a way to modify the old winches, such as having the drums knurled by a machine shop, or any other method that will cause better friction on the drums without causing to much chafe on the new lines.
Ideas welcome.
Thanks.
Bob