Benfica have long been looking to bring in a new goalkeeper as they plan to let Quim leave and Jose Moreira could leave as well.
Jimenez spent the second half of the season on loan at Zaragoza and impressed at the club.
Reports claim the 24-year-old would be interested in a move away from Atletico, as he is behind Sergio Asenjo and David de Gea in the pecking order at the Vicente Calderon.