Kinley picked up the save Tuesday in a 6-3 win over the Padres after pitching a clean ninth inning.
Kinley has thrown five scoreless innings while maintaining a 7:2 K:BB during Cactus League action.
Kinley will compete this spring with Justin Lawrence to be the Rockies' closer, Patrick Lyons of TheDNVR.com reports.
Kinley (0-4) allowed one earned run on two hits while striking out one to take the loss Friday against the Twins.
Kinley recorded his fifth save of the season in the first game of Tuesday's doubleheader against the Dodgers, giving up a hit and striking out one in a scoreless ninth inning.
Kinley (0-3) took the loss in Tuesday's 2-0 loss to the Padres. He allowed two runs on one hit and one walk while striking out two over two-thirds of an inning.
Kinley (0-2) blew a save and took the loss against the Cubs on Monday, allowing two runs on two hits and one walk over one inning.
The Rockies reinstated Kinley (elbow) from the 15-day injured list Friday, Kelsey Wingert-Linch of AT&T SportsNet Rocky Mountain reports.
Kinley (elbow) will rehab with Triple-A Albuquerque on Tuesday, Kelsey Wingert-Linch of AT&T SportsNet Rocky Mountain reports.
The Rockies placed Kinley on the 15-day injured list Sunday with right elbow inflammation, Patrick Saunders of The Denver Post reports.