However, they meet a team who will also be full of confidence after a 4-0 hammering of Rangers.
Hibs are currently third, four points behind Rangers, who play host to Dumbarton later on in the day.
Hearts are unbeaten in the League this season but Hibernian manager Alan Stubbs told his club’s website: “Records are there to be broken, that has always been the case.
“If we play to the level that we know we can do, then we will cause Hearts problems.
“My overall evaluation of Hearts is that they have been excellent from the beginning of the season until now.
“To do what they’ve done, they deserve credit for that, but the most important thing is that we keep focusing on ourselves.
“If we can perform to a level that we’ve shown, then I feel we are as good as anyone on our day, the Rangers game was proof of that.
“We will show Hearts respect but we won’t fear them.”