Diez told the Spanish club's official website: "He is a physical marvel.
"He is in very good physical condition and will be able to immediately be incorporated into the team."
The Primera Liga giants want him as cover for injured Gonzalo Higuain, with only the inconsistent Karim Benzema available to front their attack.
Adebayor made an instant impact at City following his £25million move from the Gunners, scoring in his first four games.
However, he has fallen down the pecking order at Eastlands under Roberto Mancini following Mark Hughes' departure as manager.
I feel like he will end up in Real Madrid or in one of the Italian teams next year. It was genius getting rid of this c*nt. It is a shame that there are footballers like him with no loyalty. But hey, that's just what City is made of, except for Toure and a couple others.