The club has confirmed Maignan will make his way back to Milan on Saturday after spending time under observation in the hospital.
Milan were 2-0 up at Udinese in Serie A when Maignan left his box and clashed heads with Jimenez while attempting to block the ball in the 51st minute, rendering him unconscious.
Jimenez, who also took a heavy knock to the head, initially played on but was forced off about 18 minutes later.
"Fortunately, Mike is fine. We all asked the doctor how he was, and he reassured us by telling us that he’s in the hospital for tests, but he’s doing okay. He’s a great captain," Milan defender Matteo Gabbia told reporters after the game.