CLEVELAND — With the Yankees keeping an eye Detroit right-hander Michael Fulmer, the Tigers had a scout at Progressive Field on Thursday night to watch the Yankees-Indians game.

It’s no secret, even with the Manny Machado talks dominating the news cycle, the Yankees are very serious about adding at least one starter to a rotation headed by Luis Severino and CC Sabathia.

Fulmer isn’t an ace, but could fit in between Sabathia and Masahiro Tanaka or turn Domingo German into a long reliever.

Though the Yankees wouldn’t part with Miguel Andujar or Greg Bird for Fulmer, the Tigers have an interest in Clint Frazier and Tyler Wade. They weren’t in Thursday night’s lineup, but there is a chance they will play at some point in the four-game series, not only to rest others, but to showcase them for the Tigers. Wade entered the Yankees’ 7-4 win as a defensive replacement in the eighth at second base and robbed Yonder Alonso of a single with a leaping catch.

Fulmer, 25, is 3-8 with a 4.11 ERA in 18 starts for the Tigers who are already out of chances to catch the Indians in the AL Central. In his past three outings the former first-round pick of the Mets is 0-2 with a 3.86 ERA. Fulmer is appealing to clubs because he isn’t eligible for free agency until after the 2022 season.

Aaron Boone has managed 92 games in the majors, but received a very high compliment from Indians manager Terry Francona before the game.

“I do think he’s got the really good makeup for being a good manager,” Francona said, according to the Associated Press. “I thought when Joe Torre was in New York, I didn’t think he got enough credit. He had very good teams, but he allowed them to play and he shielded them from a lot of the stuff that can come with New York or with the Steinbrenners and stuff like that. And I see a lot of the same things in [Boone] now, even though he’s really younger and certainly more inexperienced, but really good outlook, knows how to treat people. It doesn’t look like his ego is getting in the way. He knows he has a good team and he lets them [play].’’

At 61-31, the Yankees have reached 30 games over .500 before the All-Star break for the first time since the 1998 team went 61-20.