Until you get some satin lined clothing or other special lining, you might try spraying on some detangler or leave-in conditioner on him and brushing him out before putting on his sweaters.
__________________  R.I.P. Mick & Mandy (before 2010), Mila - 4/3/15, Chloe - 2/18/16, Kimchi - 6/2/2021 |