If you are anchoring on the pickup, B string or using the floating thumb technique, you can still get noise from your other higher strings (d, g for example)
What you may need to work on is muting with also your left hand. I use both hands to mute all the non wanted strings. It may take time and you may need to go back to basics a little bit, but once you get is sussed it becomes just part of your standard technique and hey presto, no more unwanted noise.
Good luck buddy