NASHVILLE, Tenn. — The Yankees have shown an interest in Astros right-hander Vincent Velasquez, who fits into general manager Brian Cashman’s plan to add a starting pitcher with less than three years of big league time.

Though the talks haven’t advanced to getting a deal done, a person with knowledge of the situation said Tuesday at the Winter Meetings the Yankees could be planning to acquire Velasquez and deal him to the Marlins for outfielder Marcell Ozuna.

The Astros are looking for a closer and Andrew Miller is certainly that, having converted 36 of 38 save chances last season, his first as a closer. Should the Yankees move Miller, Dellin Betances would shift from the eighth inning to the ninth.

However, while Cashman remains “open to anything’’ with regard to dealing Miller, who has three years and $27 million remaining on a team-friendly deal, doing so for a pitcher with 19 big league games under his belt is risky. Unless the Yankees believe flipping Velasquez into Ozuna is a move they like. Should that happen, the Yankees could deal Brett Gardner for a starting pitcher.

In addition to being cost-effective, the 23-year-old Velasquez fulfills the Yankees’ long-time seduction of power arms. In seven starts, he was 1-1 with a 4.03 ERA, fanned 38 and walked 14 in 38 innings.

Velasquez worked a dozen games in relief, fanning 20 and walking seven in 17 2/3 innings.

Overall in 19 outings, the 6-foot-3, 205-pound right-hander was 1-1 with a 4.37 ERA. He struck out 58 and walked 21.

He started the season at Double-A Corpus Christi, was promoted to the big leagues in early June, sent back to Corpus Christi in early August and returned to the big leagues to stay later in the month.

Velasquez, a second-round pick by the Astros in the 2010 draft, reaches 95 mph with the fastball and possesses an 85-mph slider that produces swings and misses. He also works with a curveball and changeup.

He faced the Yankees twice in 2015, his first in the big leagues. On June 26 against the Yankees in Houston, he worked 6 1/3 innings, allowed five hits, two runs, fanned two and walked one in a 3-2 Yankees victory. The other outing was a two-inning relief stint at Yankee Stadium where he gave up a run and fanned three in a 15-1 Astros victory.

According to a person familiar with the Marlins’ thinking, they aren’t opposed to dealing Ozuna. The 25-year-old right-handed hitter batted .259 with 10 homers, 44 RBIs and a .691 OPS last season, when the Marlins sent him to Triple-A for 33 games in which he batted .317 with a .937 OPS.

The Marlins have liked the Yankees’ Bryan Mitchell as a starter and Adam Warren as a reliever, but it will take more than that to get Ozuna, since some talent evaluators believe he is on the cusp of a breakout season.

In other developments, the Tigers are believed to be among several teams making calls about Yankees reliever Justin Wilson. Acquired from the Pirates for Francisco Cervelli, the left-handed reliever pitched in front of Betances and was 5-0 with a 3.10 ERA in 74 appearances.