Vogt, a two-time All-Star with the Oakland Athletics, came to Milwaukee via a waiver claim in June. He logged a .254/.281/.508 slash line with the Brewers and hit eight home runs in 122 at-bats.
Vogt, 33, made $2.965 million last season. He had been mentioned in speculation as a potential trade or non-tender candidate in advance of MLB's Friday 8 p.m. ET tender deadline.
The Tampa Bay Rays selected Vogt as a 12th-round draft pick out of Azusa Pacific University in 2007. He is a career .251 hitter with a .726 OPS over six seasons with the Rays, Athletics and Brewers.