Webb, 30, spent last season with the Indians, posting a 3.20 ERA in 40 appearances after being released by the Dodgers early in the season. He is the second significant bullpen addition of the winter for the Rays, who acquired Danny Farquhar in a deal with the Mariners in November.
Webb is a veteran of seven major-league seasons with the Padres (2009-10), Marlins (2011-13), Orioles (2014) and Indians (2015). He is the owner of a lifetime 3.35 ERA in that span, with his best season coming in 2013, when he posted a 2.91 ERA in 66 appearances for the Marlins.
Webb attended Clearwater Central Catholic High School near Tampa, so today's signing is a bit of a homecoming for him. To track all of this winter's free-agent moves, check out our updated free-agent tracker.