The Cardinals placed Gallegos on the 15-day injured list Monday with a right shoulder impingement.
Gallegos (2-0) earned the win Friday over the Diamondbacks, allowing two runs on a hit and a walk while striking out two over 1.1 innings.
Gallegos earned a save against the Dodgers on Saturday, allowing one hit and one walk while striking out two batters over one scoreless inning.
Gallegos (shoulder) is listed among the Cardinals' available relief pitchers for Monday's Grapefruit League game against the Marlins, Katie Woo of The Athletic reports.
The Cardinals placed Gallegos on the 15-day injured list Monday with right shoulder rotator cuff tendinitis.
Gallegos struck out two in two perfect innings to earn the hold during Sunday's 3-0 win over the Cubs.
Gallegos (1-4) allowed five runs on four hits and a walk without recording a strikeout in two-thirds of an inning to take the loss and a blown save Wednesday versus the Astros.
Gallegos blew the save in Wednesday's 8-5 loss to the Giants, allowing a two-run home run while striking out two and walking one across one inning.
Gallegos (1-3) allowed four runs on three hits and a walk with one strikeout in two-thirds of an inning, taking the loss and a blown save Friday versus the Pirates.
Gallegos struck out two and allowed a run on two hits and no walks over 1.1 innings to earn his fifth save in Thursday's 2-1 victory at Cincinnati.