Basque sides Sociedad and Athletic were due to play for the trophy in Seville on April 18 but the match has been pushed back by the RFEF, Stats Perform understands
According to reports in the Spanish media, the game is set to be rescheduled for May 30.
At least the next two matchdays in Spain's top two tiers will be played behind closed doors due to the proliferation of COVID-19, though the national footballers' union has requested matches be suspended.
The RFEF also announced on Wednesday that all non-professional men's and women's football and futsal matches have been postponed for two weeks.
According to the World Health Organisation, Spain has seen 1,639 confirmed cases of coronavirus and 36 deaths.