sometime dust an lint stick
I take mine outside and hose it off. Then hang it up and let it dry.
After cleaning, as Laura suggested, wipe the bristles down a bit with dryer/softener wipes.
Mind you, if it’s a corn- broom, the bristles are not “slick” and meant to hold dust and lint. That’s why so many folks have moved on to microfiber dustmops with heads that can be thrown in the wash.