Veteran free-agent shortstop Stephen Drew is willing to sign a one-year contract with the Tigers, a person familiar with Drew’s thinking said today.

So despite the Tigers’ trade today with the Angels for shortstop Andrew Romine, could Drew now be attractive to them?

By taking a one-year deal, Drew wouldn’t impede Jose Iglesias’ future with the Tigers. Drew could then leave the Tigers as a free agent after this season. Iglesias, who will miss at least most of this season, is expected to be back for the start of next season.

This is the first indication that the Tigers could obtain Drew, 31, without signing him to a multi-year deal.

It is believed Drew would want $14 million on a one-year deal with the Tigers. That would equal what he turned down from the Red Sox last fall as a free agent. The Tigers might eventually find his price worth it because he would represent a huge upgrade over their current inexperienced group of shortstops.

Romine, 28, has started 15 big-league games at short. General manager Dave Dombrowski said for now Romine figures to shareshortstop with either Danny Worth, who has started 26 big-league games at short, or rookie Hernan Perez, who never has started a big-league game at short.

Drew has been a starting shortstop in the big leagues since his rookie season of 2006. He’s started nearly 900 games at short.

It is also believed Drew wouldn’t want to sign with the Tigers until the day after Opening Day. If he waits to sign until after the season starts, he will be an unrestricted free agent next off-season, with no compensation attached. If he signs before then, his new club will have the right to make him a “qualifying offer” when he becomes a free agent. If the team makes the qualifying offer, it is entitled to a high draft pick as compensation from the team that signs him.