My rose jasmine always gets crispy brown over winter but I just run my hands up the stems and all the dry leaves come off . I keep my jasmines compact so it's a quick job and the stems will soon start greening up with new leaves.
@Denise16 In winter ❄️ I put all my pots in the corner by my house to keep them cosy. Other plants that can’t be moved ie if your Jasmine is planted then drape fleece over to protect. Agree with Ursula just brush your hands up the stems and the crunchy bits come off.