Lester's agent has been working on a long-term deal with the Red Sox, but the pitcher said Monday an agreement had not yet been completed.
Yahoo! Sports reported on Sunday that the left-hander and the Red Sox had agreed on a five-year, $30 million extension.
Others who agreed to one-year deals Tuesday included pitchers Michael Bowden, Clay Buchholz, Manny Delcarmen, Felix Doubront, Miguel Gonzalez, Devern Hansack, Hunter Jones, Wes Littleton, Justin Masterson and Ramon Ramirez; catchers Dusty Brow.
Information from The Associated Press was used in this report.