In addition, the Cavaliers announced that All-Star guard Darius Garland will undergo treatment and rehabilitation for a sore lower back over the next couple of days.
The team said both players' return to play would be "updated as appropriate."
Both players had been previously ruled out for Thursday night's game at Detroit.
While the Cavs will be without Garland and LeVert, they will have forward Lauri Markkanen back against the Pistons. Markkanen, who missed 11 games because of a severely sprained right ankle suffered on Jan. 22, is in the starting lineup for the game at Detroit.
LeVert, a guard/forward, has played in four games since the Cavs acquired him a trade with Indiana before the deadline, averaging 13.3 points and 3.8 assists.
He has made one start with Cleveland, and coach J.B. Bickerstaff has been toying with the idea of having LeVert in his opening lineup. Bickerstaff is also figuring out how the 6-foot-6 scorer best fits in Cleveland's offensive schemes.
It's not yet known when LeVert injured his foot.
Garland's back issue has slowed him for weeks. He sat out five games because of lower back soreness before last week's All-Star break. The 22-year-old took part in All-Star Weekend activities, scoring 13 points in Team LeBron's win Sunday.
The Cavs have had to overcome injuries all season -- leading scorer Collin Sexton and guard Ricky Rubio were lost for the year to knee injuries -- and are currently fourth in the Eastern Conference at 35-23.
The Associated Press contributed to this report.