However, coach Arsenio Iglesias retired at the end of the season, and was replaced ahead of the new campaign by Welshman John Toshack, formerly of Real Sociedad.

Depor's Copa del Rey win qualified them for the 1995 Supercopa de España, and Toshack's reign got off to a great start in the two legged final against Real Madrid.

After a goalless first half at Estadio Riazor, Real goalkeeper Francisco Buyo was sent off shortly after the interval, and Donato scored the resulting penalty to give Deportivo the lead.

The hosts scored twice more in the next ten minutes, through Fran and Bebeto, to take a commanding lead, and received a late bonus as Mikel Lasa became the second Madrid player to be dismissed.

[2] In the second leg at Santiago Bernabéu Stadium, Real captain Fernando Hierro gave them a lifeline in the first half, but Depor struck twice in the last ten minutes via substitutes Javier Manjarín and Txiki Begiristain to earn an emphatic 5–1 aggregate victory.