The Mariners have not announced a deal or commented on the report.
Sherrill, who broke into the Majors with the Mariners in 2004 after being purchased from the independent Northern League in 2003, has a 3.68 ERA in 440 career appearances, all in relief. He has allowed left-handed batters a .180 batting average in his eight seasons.
The 34-year-old Sherrill pitched for the Braves last season, going 3-1 with a 3.00 ERA in 50 appearances. Sherrill, who had a career-worst 6.69 ERA in 65 appearances with the Dodgers in 2010, spent the two previous years with the Dodgers after two seasons as the Orioles' closer, posting 51 of his career 56 saves.
John Schlegel is a national reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.