That's according to former Romania international Gica Craioveanu.
Odriozola is a favourite of Real Madrid coach Zinedine Zidane and was linked with a move to Los Merengues this month.
Craioveanu told El Mundo Deportivo: "I have heard that Alvaro Odriozola has found an agreement with Real Madrid. He has a very affordable clause."
The fullback's buyout clause is set at €40m. Odriozola is expected to join Real Madrid as competition for Dani Carvajal.