Moya’s arrival paves the way for Thibaut Courtois to return to Chelsea after three seasons on loan in Madrid.
Atletico say Moya has agreed a three-year deal with just a medical left to sort.
Courtois has been public in admitting his future is uncertain, but with the La Liga side bringing in another goalkeeper it appears as if his time at the Vicente Calderon is up.
Moya has played 10 seasons in Spain’s top division, representing Mallorca and Valencia before spending the last three seasons with Getafe.
Moya injured his right knee in March and needed surgery, ruling him out for the remainder of the season.