Upvote:4
Jersey and Guernsey require a valid visa or visa exemption to enter the UK, no more, no less. So if you have a residence permit that allows you to enter the UK, you're good for short stays in Jersey and Guernsey as well (up to 6 months, which also count against your UK time limit as well if applicable). There are no immigration controls between the UK and the Channel Islands.
Official source: Jersey visa and passport requirements for visitors; Guernsey entry clearance/VISA requirements.