NEW YORK — The Yankees made another high-risk offseason addition to their starting rotation, acquiring right-hander Jameson Taillon from the Pittsburgh Pirates on Sunday for four prospects.

Pittsburgh received right-handers Roansy Contreras and Miguel Yajure, infielder Maikol Escotto and outfielder Canaan Smith.

Taillon, 29, has not pitched since May 1, 2019, following his second Tommy John surgery.

New York also has a pending $11 million, one-year deal with right-hander Corey Kluber, who has pitched just one inning since his right forearm was broken by a comebacker on May 1, 2019. He tore a muscle in his pitching shoulder in his season debut last season.

They hope to join a rotation headed by Gerrit Cole, Taillon’s former Pirates teammate, and projected to include Deivi Garcia and Jordan Montgomery.

In addition, Luis Severino is expected to return from Tommy John surgery last Feb. 27 and Domingo German is expected back from a domestic violence suspension that caused him to miss last season. Rookie Clarke Schmidt, who debuted Sept. 4, and Michael King, who made four starts and five relief appearances last year, also are possibilities.

“Bittersweet day for me over here!” Taillon wrote on Twitter. “Trying to process everything — have SO much to say to the city of Pittsburgh and my teammates. Also have SO much to say about this incredible opportunity and to the city/fans in New York.”

This deal makes it less likely the Yankees will re-sign Masahiro Tanaka, who became a free agent. New York lost two other starters to free agency, J.A. Happ, who signed with Minnesota, and James Paxton, who remains unsigned.

Taillon was 2-3 with a 4.10 ERA in seven starts during the 2019 season, when he started on opening day for the Pirates. He did not pitch after May 1, going on the injured list with a strained right elbow flexor tendon. He had surgery on Aug. 13 with New York Mets medical director Dr. David Altchek to repair the flexor tendon and have ulnar collateral ligament revision surgery, his second Tommy John procedure.

Pirates general manager Ben Cherington said they weighed “comparing what was on the table now to what we felt like could be down the road given a sort of reasonable expectation of a return.”