The move was retroactive to Monday. It was expected after the right-hander felt soreness in his elbow and was unable to throw a planned bullpen session on Wednesday.
To take Carrasco's roster spot, the club recalled reliever Frank Herrmann from Triple-A Columbus.
"We're also going to bring up Alex White to make his major league debut on Saturday," manager Manny Acta said.
White, the club's top draft pick in 2009, will fill Carrasco's turn in the rotation. The right-hander is 1-0 with a 1.90 ERA and 28 strikeouts in 23 2/3 innings for Columbus.
"He has met just about all our expectations," Acta said. "His slider has improved. He's got poise and maturity. He was a big-time college [North Carolina] guy."
Acta said how long White remains with the team depends on not only how well the 22-year-old fares against the Detroit Tigers but also how long it takes Carrasco to recover. The team will wait until Saturday to make the actual move.