Lay your velour clothing on a flat work surface. Brush the entire surface, moving with the nap, with a suede brush. Continue to brush the velour to loosen and remove dried dirt.
Remove the loosened dirt by vacuuming off the velour garment with a hand vacuum. Move with and against the grain of the velour fabric to get dirt out of the fabric fibers.
Pour 2 cups warm water into a bucket. Add 1 tablespoon dishwashing detergent. Stir the solution together with a spoon.
Dampen a sponge with the detergent solution. Squeeze out excess liquid. Blot the remaining dirt stains on your velour garment to remove the dirt.
Rinse the velour fabric by blotting it with a damp cloth. Pat the velour dry with another cloth.
Hang your velour garment on a padded hanger. Dry the garment in a well-ventilated area out of direct sunlight and away from heat sources.
Treat lingering odor from dirt by sprinkling baking soda over the velour garment. Let the baking soda absorb the smell overnight. Vacuum the garment to remove the baking soda.