Can you get hats that don't give you hat hair?!

[Laquila]

I'm after a warm winter knitted hat/beanie that doesn't leave my hair glued to my head once I take it off...does such a thing exist?! Do I just need a ridiculously large hat that doesn't actually fit me?? Ideally I want something soft and knitted, maybe with a rolled edge/folded brim. Any suggestions/tips welcome!

black-sunrise.co.uk

They were on Stephs packed lunch last year

That's absolute genius, thank you!! I already have satin pillowcases but hadn't occured to me that this could be transferred to headgear! A fair few are sold out but the slouch one looks lovely.