Clippard, who spent last season with Toronto, will try to earn a spot in Cleveland's revamped bullpen. The deal is contingent on the 34-year-old passing medical tests and may not be completed for several days.
"Any time you get a chance to get a major-league pitcher, whether it be a reliever or starter on a non-ability deal it's kind of hard to not want to bring him in," Indians manager Terry Francona said. "He's had really strong career, he's held his stuff over a period of time -- really nice changeup and the ability to pitch a full inning.
"We're really excited to bring him in and get a look at him and see where it could go. He'll go right into that mix of that group competing for bullpen spots."
If Clippard makes Cleveland's 40-man roster, he would receive a $2.5 million salary while in the majors.
Clipppard went 4-3 with a 3.67 ERA in 73 games for the Blue Jays in 2018. Over 12 major league seasons, he's 52-46 with a 3.16 ERA and 68 saves for eight clubs. He's also appeared in 14 postseason games, three in the 2015 World Series with the Mets.
The three-time defending AL Central champions have 11 other non-roster invitee pitchers in camp.