Four American League contenders — the Rangers, Angels, Red Sox, and Blue Jays — have shown interest in free-agent left-hander Darren Oliver, a major-league source told FOXSports.com.

Oliver, 41, is coming off a season in which he posted a career-low 2.29 ERA in 61 relief appearances for the Texas Rangers.

Oliver pitched for the Red Sox (2002) and Angels (2007-2009) earlier in his career.

Oliver has reached the postseason in each of the last six years but is still looking for his first World Series ring. So, he is almost certain to sign with a team that has a realistic chance of winning it all in 2012. He lives with his family in the Dallas area, so a return to the Rangers would be easiest from a personal standpoint.

— Jon Paul Morosi