With La Liga currently in a winter break, Madrid are top of the table, three points clear of champions Barcelona despite Pep Guardiola's men winning the latest edition of Clasico 3-1 three weeks ago.
However, even with his side sitting second in the league, the Brazil international is adamant that their bitter rivals do not pose a real threat this season.
"We do not expect much from them [Real Madrid]. All the praise is for Barca which hurts them. We are behind them in the table but we still get to play them in Barcelona and we can cut the points back to win the title," the former Sevilla man told Cuatro.
The right-back then moved on to praise his team and coach Pep Guardiola who he believes to be underrated.
"People are not aware of what we are doing. When this team is finished we will be given even higher praise. We will always be with [Pep] Guardiola. In the future people will recognise his work," he added.
Alves concluded with a few words on Brazil team-mate Neymar who has been linked with a move to Camp Nou.
"The best time [to sign] Neymar is now. We do not want to wait two years. I hope he can come here soon," he concluded.
Barcelona are next in action on January 8 when they face a trip to local rivals Espanyol.
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.