Salazar is 3-5 with a 5.50 ERA in 10 starts this season. He has struck out 73 batters in 52⅓ innings but has allowed 55 hits and 28 walks.
Manager Terry Francona said Salazar will be available as a reliever beginning Wednesday. Francona hopes being in the bullpen will help Salazar work on his daily throwing routine and regain his confidence.
"He's not being banished to the bullpen," Francona said. "We explained everything to him, why and what we're trying to achieve. He'll throw a bullpen tomorrow and we'll get him back on the road to carving people up."
Salazar was 11-6 with a 3.87 ERA last season. He missed most of the second half with a sore elbow.
Francona said Salazar might start a game next week during Cleveland's road trip. Kluber won't pitch in a two-game series at Colorado because the Indians don't want him hitting or running the bases.
Information from The Associated Press was used in this report.