The Brewers announced the move before their Tuesday night game with the Los Angeles Dodgers.
Varland was pitching April 15 in the eighth inning of a 10-3 loss to San Diego when Machado hit a 105.1-mph line drive that went off the right-hander’s pitching hand before striking him on the chin and left forearm.
Although X-rays on Varland’s pitching hand were negative, he went on the injured list one day later.
Varland, 26, has gone 0-0 with a 2.70 ERA in six appearances for the Brewers, who selected him from the Dodgers in the Rule 5 draft.
The Brewers made room for Varland on the roster by optioning left-hander Bennett Sousa to Triple-A Nashville. Sousa had made one appearance for Milwaukee, going 1 2/3 innings and allowing a two-run homer to Chris Taylor in the Brewers’ 9-3 victory over the Dodgers on Monday.
Brewers’ Gus Varland activated three weeks after being hit