Suter will serve as the Reds' opening pitcher for Thursday's game against the Dodgers, Gordon Wittenmyer of The Cincinnati Enquirer reports.
Suter allowed four hits and one walk while striking out two over 3.1 relief innings in Sunday's 3-0 win over the Angels.
Suter allowed five runs (four earned) on three hits and one walk over one-third of an inning in Tuesday's 9-4 loss to Philadelphia.
Suter agreed to a one-year, $2.5 million deal with the Reds on Thursday, Robert Murray of FanSided.com reports.
Suter will start Sunday's game against the Twins, Luke Zahlmann of The Denver Gazette reports.
Suter will be the first pitcher on the mound for the Rockies in the first game of Saturday's doubleheader against the Giants, Patrick Lyons of TheDNVR.com reports.
Suter (oblique) was activated from the 15-day injured list Wednesday, Thomas Harding of MLB.com reports.
Suter (oblique) was placed on the 15-day injured list Friday, Patrick Lyons of TheDNVR.com reports.
Suter sustained an oblique injury during his relief appearance in Tuesday's 8-6 loss to the Reds, Patrick Saunders of The Denver Post reports.
Suter (2-0) earned the win in Wednesday's 11-6 win over the Reds. He allowed one walk over one scoreless inning.