As a result of his injury, Millsap will miss Atlanta's games against the Phoenix Suns on Tuesday and Brooklyn Nets on Wednesday.
Millsap suffered the injury on Saturday night when he collided with Brooklyn forward Earl Clark while they were chasing after the ball just before half-time. Atlanta ended up demolishing Brooklyn 131-99.
Millsap was taken for an X-ray, which revealed nothing, but an MRI confirmed that he had sprained his right shoulder and sustained some bruising as well.
Atlanta center Al Horford made it clear that Millsap will not have to play through the pain since the team have already secured home-court advantage throughout the Eastern Conference playoffs.
"The good thing for us is that we already clinched the No. 1 spot," Horford told ESPN. "The priority is to get Paul healthy. There's no need to play through pain."
Atlanta will be doing everything in their power to ensure Millsap is fully fit prior to the start of the playoffs, especially since he is averaging 16.8 points, 7.8 rebounds, 3.0 assists and 1.8 steals per game this season.