Jurgen Klopp’s men have not dropped more than two points this season and have won 24 of their 25 games.
With just six more victories, they can become English champions for the first time in 30 years.
Everton are Liverpool’s fifth game on that run, but they could still win the title at Goodison if Manchester City drop more points between now and then.
Liverpool have games against Norwich, West Ham, Watford and Bournemouth to play before facing Everton.
But Ancelotti is hopeful that Klopp’s men won’t get the chance to win their 19th title at Goodison.
“Liverpool is going to win the Premier League, I just hope not at Goodison Park,” Ancelotti said.
“We have a good relationship. He has a lot of experience. I’m happy to meet him tomorrow.
“He’s doing a good job like he has done all of his career. Everyone has a good memory of him.”