Desmond, 31, was hit on the hand by a pitch from Reds rotation hopeful Rookie Davis.
The Rockies signed Desmond, a shortstop with the Nationals 2009-15 and a center fielder with the Rangers last year, to fill a hole at first base and provide versatility offensively and defensively.
In Desmond's absence, Reynolds, who returned to the team under a Minor League contract, is the likely first baseman.
Getting a lot of love, thank you. Blessed to have so many good people in my life. How about a team #USA win. Nolan looked good in first AB.