Talk of the Detroit Tigers pursuing a shortstop may have been overblown.

The team cooled on free agent Stephen Drew due to his desire for a multi-year contract and has not discussed a trade for the Indians’ Asdrubal Cabrera, according to a source with knowledge of the club’s thinking.

Instead, the club is focused on adding a left-handed reliever and finding a right-handed platoon partner for Andy Dirks in left field, the source said.

One outfielder in whom the Tigers have interest, according to a second source: Free agent Scott Hairston, who also is a target of the New York Yankees and New York Mets.

The Tigers earlier this offseason signed free-agent right fielder Torii Hunter to a two-year, $26 million contract.

The team has an opening for a closer, but club officials are excited by the progress of rookie right-hander Bruce Rondon, who has touched 102 mph in the Venezuelan winter league, according to scouts.

As for shortstop, Drew seemed a possible fit on a one-year deal. The Tigers then would have traded Jhonny Peralta, possibly to the Arizona Diamondbacks.

For now, the job still belongs to Peralta. Drew still could re-emerge as a possibility if his market fails to develop, but the Indians’ Cabrera appears out of the question.

Cabrera has a six-team no-trade clause that covers the Tigers, New York Yankees, Boston Red Sox, Washington Nationals, San Francisco Giants and New York Mets, a source said.

— Ken Rosenthal and Jon Paul Morosi