Haynes noted the Pistons are expected to be "cautious" with Rose's injury, and the veteran is expected to make a full recovery after he hurt the ankle in the first quarter against the Kings on Sunday.
According to the Detroit News' Rod Beard, Rose was diagnosed with a Grade 2 sprain and will be re-evaluated in two weeks.
Injuries are nothing new for Rose, as he hasn't appeared in more than 66 games in a season since 2010-11. He entered this season having appeared in 76 games in the previous two campaigns combined.
Rose was a perennial All-Star early in his career with the Chicago Bulls and won an NBA MVP award, but multiple knee injuries cost him an entire season in 2012-13, and he played just 49 games over a three-year stretch from 2011-12 through 2013-14.
Injuries have continued to hinder him, but Rose has been highly productive when healthy with averages of 18.1 points and 5.6 assists per game in 50 appearances.
Rose put up 18.0 points, 4.3 assists and 2.7 rebounds per game in 51 contests with the T-Wolves last season, and he has arguably been better as a member of the Pistons.
The 31-year-old isn't a regular starter for Detroit, but he plays significant minutes and is a huge part of the backcourt rotation. His absence will be a major blow to a Pistons team that has struggled even with him on the court.
With star forward Blake Griffin out for the remainder of the season because of a knee injury, Rose has essentially been the go-to guy offensively. The Pistons do boast a decent amount of guard depth with Luke Kennard, Langston Galloway and Brandon Knight in tow, and there will be pressure on all three to replace Rose's production.
Rose is clearly a more savvy, effective offensive player than all of them, though, and it will be tough to replicate his play.