How to line a toque?

[RuthA]

Hi, I made a toque for my boyfriend which is apparently too itchy for him to wear comfortably. I'd like to line it (with fleece?), but can't find out any information on how to so. It's a ribbed (2k2p) cap with a two inch cuff. It's the ribbing that's giving me a problem, I'm just not sure how I would attach something on the inside and not mutate it given the stretch.

Any ideas on how to make this hat wearable would be very much appreciated.

Thanks,
Ruth