Mourinho was caught on camera, poking his finger into the eye of Barca assistant coach Tito Vilanova as players and coaching staff from both teams confronted each other towards the end of the second leg clash.
With Barca leading the game 3-2, and 5-4 on aggregate, the Catalans reacted angrily to a hard challenge from Real player Marcelo on new signing Cesc Fabregas. It was in the resulting fracas where Mourinho got involved with Vilanova and this has led to widespread condemnation of the Portuguese tactician's behaviour.
On Saturday, Marca claimed that the former Inter Milan and Chelsea manager was set to apologise but it now looks clear that Mourinho is not as remorseful about his actions as first reported.
"Jose will not say sorry and he is determined to defend Real Madrid," Mourinho spokesperson Eladio Parames told Ansa.it.
Parames also absolved Mourinho of any wrongdoing by adding that the Portuguese was provoked following "verbal aggressions" towards him from the Barcelona bench.
In the immediate aftermath of Barca's Supercopa win, defender Gerard Pique accused the Real coach of "destroying Spanish football" after his antics again came under the spotlight.
However, Mourinho's opposite number Pep Guardiola was more calm in his assessment of the situation, although he did have word of caution for those involved in the tense atmosphere on the pitch.
"The images speak for themselves," he said.
"We must be careful, because one day we will cause harm, not on the field but off, and we're all a little responsible for this."
Real had four men sent off in five games against their rivals last season under Mourinho.