Vogt was expected to join the Rays in time for Monday night's game at Toronto.
Jennings left a May 6 game against Oakland with a sprained left knee, but has made two pinch-hit appearances since. He grounded out in the ninth inning of Friday's loss at Baltimore.
Jennings is one of seven Rays players currently on the DL, a list that also includes third baseman Evan Longoria (torn left hamstring), closer Kyle Farnsworth (right elbow), catcher Robinson Chirinos (concussion) and outfielder Sam Fuld (right wrist).
Vogt, who can catch and play in the outfield, made Tampa Bay's Opening Day roster but was optioned to Durham on April 20 when the Rays activated B.J. Upton off the DL. The rookie was hitless in 13 at-bats over seven games, the worst start to a career by any player in Rays history.