Quick had surgery to repair a torn meniscus in his knee, the same injury as Campbell's, in October and was proclaimed out indefinitely.
Campbell is 5-7-0 with a 2.33 goals-against average and .923 save percentage in 13 games.
The Kings also have goalie Peter Budaj on the roster but called up Cal Petersen from the AHL. He's in his second season in the minors after playing at Notre Dame.
The Kings have a league-low 11 points this season. They fired coach John Stevens on Nov. 4 and replaced him on an interim basis with Willie Desjardins.
Los Angeles hosts the Toronto Maple Leafs on Tuesday.