The 6-foot-10 Favors gets the nod over rookie Jeremy Evans, who started the last three games for the injured Millsap.
Rookie guard Gordon Hayward will not dress Monday because of a foot injury. X-rays taken Monday morning showed no stress fracture but he is to be examined further.
Favors, acquired in a February trade with New Jersey along with point guard Devin Harris in exchange for All-Star Deron Williams, started 23 games with the Nets. He has averaged 7.3 points and 4.5 rebounds in eight games with Utah.