The Argentina international believes the Bianconeri have a chance of winning Europe's premier club competition in 2013-14 but claims that the team are prioritising Serie A
The 29-year-old moved to Turin from Manchester City earlier this summer, and says the Premier League side's European campaigns - where they exited at the group stage in consecutive seasons - were blighted by unmanageable pressure and hype.
The Argentine is determined not to allow similar pressures at Juventus to disrupt their silverware aspirations, and says that the Bianconeri have prioritised winning Serie A for a third straight season over toppling Bayern Munich on the European stage.
"I think we have to be calm and make sure we don't put pressure on ourselves to win the Champions League," Tevez told CNN. "If we don't then that pressure will become impossible to escape from.
"We have to be calm and know that winning the Scudetto again will make us part of Italian history and then we can think about everything else.
"We all dream of winning the Champions League but our main objective is winning Serie A. Then we can be calm in the Champions League and everything will become a lot easier."