The 34-year-old was 6-7 with a 4.62 ERA in 18 starts last season with Toronto and 20 relief appearances with World Series champion Houston, which acquired him at the July 31 trade deadline. He is 102-99 in a 12-year big league career.
"I'm just happy to be healthy and go out there and pitch and have fun," Liriano said.
Liriano can earn $1 million in performance bonuses based on starts.
"Maybe a little less velocity, but his velocity is still good," Tigers manager Ron Gardenhire said. "His changeup is phenomenal. He's going to throw pitches, we know that. He's going to fire inside and outside but he's got great stuff and that changeup is still dominating."
Also, Detroit right-hander Michael Fulmer, scratched from a start Sunday because of elbow discomfort, is scheduled to take mound Friday against the New York Mets.
Travis Wood (torn ACL and meniscus) will have surgery Tuesday in Dallas.
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