Tumble drying jersey-is it ever possible without shrinkage?

[Molehillmountain]

Help solve the perpetual debate between dh and me-he says yes I say no!

I have only just got a dryer as am renting a very damp house which has been a nightmare for clothes! Most things seem to shrink bar towels! Any tips on what to avoid drying

I find cotton that's woven tends to be okay. Although not cath kidston tea towels! A tea towel that can't be tumble dried . Jersey is my biggest no no. Fleece though, tumble dries very well.