Norris, a 32-year-old right-hander, led the Los Angeles Angels with 19 saves in 23 chances last season. He went 2-6 with a 4.23 ERA in three starts and 57 relief appearances, striking out 74 in 62 innings.
He is 68-84 with a 4.49 ERA over nine major league seasons, making 188 starts and 103 relief appearances with Houston (2009-13), Baltimore (2013-15), San Diego (2015), Atlanta (2016), the Los Angeles Dodgers (2016) and the Angels.
He can earn additional performance bonuses. To clear a roster spot, right-hander Rowan Wick was designated for assignment.