The Red Dragons face Argentina on Saturday before locking horns with Samoa, New Zealand and Australia later this year.
The Welsh haven't defeat one of the world's top three sides in four years, and Warburton believes that his country must complete a clean sweep if they are serious about competing for the World Cup.
"We have to be ambitious, go for four out of four," Warburton told BBC Sport.
"If you look at the great northern hemisphere sides like England in 2003, they beat the big three (New Zealand, Australia, South Africa) on the bounce.
"That is the standard, really, if we want to be contenders in 2015."