On Monday, Mourinho said he had to look on the Internet to learn about the teams Barcelona was playing in Europe - a suggestion Pep Guardiola's men were up against the continental competition's weaker and lesser-known sides.
He was referring to Czech opponent Viktoria Plzen, which Barcelona beat 2-0 at Camp Nou on Wednesday night, and BATE Borisov, which lost 5-0 to Guardiola's side earlier in the competition.
However, Alves claims he and his teammates have come to expect such comments from Mourinho.
"We know what he is like. He is always trying to take merit away from others," he told Spanish media, as reported by Goal.com Spain. "We will just get on with our work and don't want to get involved with any of that. We're inferior in that respect and we like to do our talking where we do it best - on the pitch.
"Journalists love it because it sells a lot of newspapers, but we are focused on performing on the pitch."
Barcelona's win on Wednesday, courtesy of goals from Andres Iniesta and David Villa, helped the club stay top of Group H alongside AC Milan.
The Spanish and European champion is in action next when it plays Sevilla on Saturday in La Liga.
How do you stay up with football when on the move? With http://m.goal.com –your best source for mobile coverage of the beautiful game.