Olazabal has waited to name any of his four assistants for next month's match in Chicago just in case any of the people he had in mind forced their way into the side.
Spaniard Jimenez, who served under Seve Ballesteros in 1997 and then went on to earn four caps, would seem an obvious choice now that he is too far back on the points table and unlikely to be handed one of the two wild cards.
He and compatriot Olazabal embraced at the Spanish Open last year when a minute's silence was held following the death of Ballesteros from a brain tumour.
They were also fourball partners when Jimenez, 48, made his debut in Boston 13 years ago.
Darren Clarke has also been given an invitation to Gleneagles.
He, Olazabal, Paul McGinley, Thomas Bjorn and Sergio Garcia were Colin Montgomerie's backroom team for the victory at Celtic Manor and Olazabal was considering making Clarke captain of the Britain and Ireland team in the Seve Trophy until he won The Open and qualified.
Davis Love's four assistants are already known. He added Scott Verplank and Jeff Sluman to the previously-announced Fred Couples and Mike Hulbert.