The Swedish midfielder believes victories over Manchester City and Chelsea in the league and Capital One Cup, respectively, can give his side confidence to beat the Toffees.
Gus Poyet's men have beaten Manchester City in the Premier League and also dumped Chelsea out of the Capital One Cup. They will need to be at their best again to inflict a first home defeat of the season on Everton but Larsson is confident in the ability of Sunderland's squad.
"Everton are doing well. Ever since I've played in the Premier League it's always been a tough place to go. [It is] a good team, a solid team," he told the club's official website. "They're flying in the league and playing some good football, they've got a lot of good players, so it won't be an easy game against them.
"We know we'll have to play really, really well to get something, but at the same time we are capable of doing that against the top teams and we've shown that against [Manchester] City and Chelsea this year."
Sunderland has picked up only one point on the road this season and has failed to find the net in its last six top-flight away games.