Vincent was outrighted to Triple-A St. Paul on Friday, Aaron Gleeman of The Athletic reports.
Vincent inked a minor-league deal with the Twins over the summer and finished the season in the big-league bullpen. He was already set to hit free agency this offseason, so his removal from the 40-man roster is just a procedural move for Minnesota. The 35-year-old made seven major-league appearances and gave up one run in 12.2 innings.