The Athletics selected Jimenez with the 18th pick of the Rule 5 draft.
Jimenez, who turns 27 later this month, was selected by the other Bay Area team in last year's Rule 5 draft before eventually being returned to the Blue Jays after giving up a run while striking out one in 1.1 innings (two appearances) with the Giants. He logged a 1.87 ERA, 1.01 WHIP and 46 strikeouts in 33.2 innings at Double-A in 2019.