Kinley was placed on the Rockies' 15-day injured list Friday due to right elbow inflammation.
Kinley earned the save in Thursday's 4-2 win over Detroit, allowing one hit and one walk while striking out two in a scoreless ninth inning.
Kinley struck out one batter in a perfect inning and earned a save against Milwaukee on Sunday.
Kinley struck out two over a perfect ninth inning to record the save over Atlanta on Thursday.
Kinley picked up the save over Baltimore on Saturday, allowing one walk over one inning while striking out three. He also beaned a batter.
Kinley allowed four earned runs on three hits and a walk while failing to record an out Tuesday against the Marlins.
Kinley allowed one hit and struck out one in a scoreless eighth inning to earn a hold Tuesday against the Nationals.
Kinley picked up the save in an extra-inning win over the Angels on Thursday, striking out one over a perfect 10th inning.
Kinley allowed four earned runs on three hits and a walk while striking out two across 0.2 innings Monday against the Reds.
Kinley pitched two shutout innings Sunday against the White Sox, allowing zero hits and one walk while striking out one.