Murray has won 10 of his 19 previous matches against Federer, but the British number one has lost all three of their meetings at majors.
The pair will meet again tomorrow as they compete for a place in the final of the Australian Open.
Ivanisevic believes that the Scot's achievements in 2012 have relieved him of the pressure that had hindered his performances on the big stage in previous years.
"Mentally, Andy is ready," Ivanisevic told BBC Sport. "It doesn't matter that it's 3-0 [in Grand Slam head-to-heads]. He has beaten him before, so he knows how to beat him.
"The Olympic Games and the winning a Grand Slam at the US Open helped him a lot. He doesn't have people putting pressure on him about when he's going to win his first Grand Slam."
Murray has reached the final of the Australian Open on two previous occasions - in 2010 and 2011.