Both Desmond and Murphy were expected to miss four to six weeks.
Desmond had another X-ray of the hand that showed it is healing well, and he'll begin light baseball activity -- including playing catch and taking ground balls (though no hitting) -- sometime this week, the Rockies said on Monday.
The Rockies signed Desmond to a five-year, $70 million contract last December, bringing him to Colorado to play first base after an All-Star season in which he hit .285/.335/.446 with 22 home runs and 21 steals while playing center field for the Rangers.
Murphy had a CT scan and hasn't yet received the results. He's been catching balls from a pitching machine but not behind the plate with live pitching.
Murphy, 26, is the Rockies' No. 11 prospect according to MLBPipeline.com, and the No. 7 catching prospect in baseball. He hit .273 with two doubles and five homers for Colorado in 21 games last season. At Triple-A Albuquerque in 2016, he hit .327/.361/.647 with 19 home runs in 80 games.
Manny Randhawa is a reporter for MLB.com. Follow him on Twitter at @MannyOnMLB. This story was not subject to the approval of Major League Baseball or its clubs.