Tolliver was sent to Triple-A Norfolk on Sunday.
Tolliver allowed two hits over two-thirds of an inning in his only outing since being recalled on June 22, and that will be it for him for the time being. Left-hander T.J. McFarland, who pitched two scoreless innings Saturday as the 26th man for the team's doubleheader, is expected to take Tolliver's spot on the roster, but no official move has been announced yet.