The Athletics non-tendered Jimenez on Friday.
The Athletics optioned Jimenez to Triple-A Las Vegas on Saturday.
Jimenez (1-3) took the extra-inning loss to the Giants on Sunday, allowing three runs (two earned) on two hits over one inning. He struck out three.
The Athletics reinstated Jimenez (oblique) from the 15-day injured list Sunday.
Jimenez (oblique) allowed two earned runs on two hits, a walk, a hit batsman and a wild pitch over one-plus inning in Triple-A Las Vegas' loss to Oklahoma City on Tuesday. He struck out one.
Jimenez (oblique) fired a scoreless, hitless seventh inning in Triple-A Las Vegas' win over Sacramento on Saturday, allowing a walk and recording a strikeout.
Jimenez (oblique) fired a scoreless inning in Triple-A Las Vegas' win over Sacramento on Tuesday, allowing a hit and recording two strikeouts.
Jimenez (oblique) will begin a rehab assignment with Triple-A Las Vegas on Tuesday, Martin Gallegos of MLB.com reports.
Jimenez was diagnosed with a Grade 2 strain in his left oblique Sunday, Martin Gallegos of MLB.com reports.
The Athletics placed Jimenez on the 15-day injured list Sunday, retroactive to June 20, due to a strained left oblique.