How do you stop chenille sweaters from "shedding"?

I have two beautiful chenille sweaters that I hate to wear because they "shed" so badly. People can literally track my movements by the fuzz these sweaters leave behind! One of the sweaters I've had for 2-3 years and it sheds as badly as it ever has. The other is brand new. I've seen this question asked a few years ago, but I'm hoping that people have better advice now. Please help!