The all-rounder helped restrict the the visitors to 114 for nine at Chester-le-Street with his best bowling figures in the 20-over format.
In a rain-affected North Division match, Collingwood scored seven with the bat as Durham reached their target of 48 from seven overs with one ball to spare.
Collingwood was upstaged slightly by Nayan Doshi, who took a hat-trick for Derbyshire but to no avail.