Narveson, 31, will attempt to reclaim his spot in the Brewers rotation after missing most of 2012 with a torn rotator cuff. He only appeared in two games last year and went 1-1 with a 7.00 ERA in nine innings of work.
In the previous two seasons, Narveson made 56 starts for the Brewers. He went 12-9 with a 4.99 ERA over 167⅔ innings in 2010. In 2011, he went 11-8 with a 4.45 ERA in 161⅔ innings.
The left-hander is 26-18 with a 4.67 ERA over 394⅔ in five seasons spent with the Brewers and the St. Louis Cardinals.