Marquez, 28, has inflammation in his right forearm. He is 2-1 with a 4.41 ERA in three starts this season, striking out 13 and walking two batters in 16⅓ innings.
The former All-Star is 65-55 with a 4.40 ERA in 175 career games (172 starts) since making his debut with Colorado in 2016.
Marquez had discomfort in his elbow in 2019 that led to the Rockies shutting him down in August. He said Monday night this was nothing like that pain.
Marquez has 979 career strikeouts with the Rockies and is six away from tying Jorge De La Rosa for the most in team history.
Jones, 24, is batting .359 with a 1.351 OPS through 10 games at Albuquerque. He has driven in 14 runs, and his 14 hits include six homers and two doubles.
Defensively, he has already started games at first base, third base, left field, right field and designated hitter.
Jones made his MLB debut with the Cleveland Guardians last season and batted .244 with two homers and 13 RBIs in 28 games. He was traded to the Rockies on Nov. 15 for infield prospect Juan Brito.
Information from Reuters and The Associated Press was used in this report.