In July 2020, Athletic confirmed that San José's contract would not be extended beyond that summer, although the departure was delayed beyond its usual June expiry after the season was postponed due to the COVID-19 pandemic in Spain. His contribution (along with long-serving colleague Beñat Etxebarria, also leaving in similar circumstances) was acknowledged at the last home fixture on 16 July 2020 in an empty San Maméshe was in the matchday squad but did not leave the bench, with his last appearance four months earlier in the Spanish Cup semi-finals; His team won that tie, but the circumstances of the delay and the end of his spell at the club meant he would have no opportunity to take part in the final.