Jackson was recalled from Triple-A Gwinnett on Thursday, David O'Brien of The Athletic reports.
The 34-year-old was up with the big-league club for one day last week and will return to the majors Thursday with Max Fried (concussion) headed to the injured list. Jackson had a 3.74 ERA, 1.25 WHIP and 28:12 K:BB across 21.2 innings for the Giants last year, but he's yet to make his season debut in 2022.