The right-hander was with the Cardinals organization in 2005 and appeared in 26 games (25 starts) for Triple-A Memphis, where he was 11-6 with a Pacific Coast League-leading 3.38 ERA.
Jarvis, 36, also made four relief appearances for the Cardinals last year and was 0-1 with a 13.50 ERA.
Over 11 years in the Major Leagues, Jarvis has a 34-47 record with a 5.97 ERA in 178 appearances (114 starts).
Steve Gilbert is a reporter for MLB.com. This story was not subject to the approval of the National Association of Professional Baseball Leagues or its clubs.