Frye finished the night with five points, one rebound and one assists in the Suns' 118-107 loss.
The injury, technically a subluxed right shoulder, occurred when he went up for a rebound with 5 minutes to play in the second quarter. The 6-foot-11 former University of Arizona star was sidelined for nearly two weeks last season when he dislocated the same shoulder.
Team doctor Thomas Carter said Saturday's injury occurred when the shoulder popped slightly out of its socket, then back in again.
Frye is averaging 10.6 points and leads the team with 91 3-pointers.
Information from The Associated Press was used in this report.