Hearts head coach Robbie Neilson hopes his side can clinch the Scottish Championship title and automatic promotion in front of a home crowd.
The leaders could be confirmed winners after their away match against Falkirk on Saturday, depending on Sunday's result between Hibernian and Rangers.
The Edinburgh side's next home match is against Queen of the South on 28 March.
"I would really, really like to win it at Tynecastle," said Neilson, following the 3-1 win over Raith Rovers.
"I think the players would as well. If it happens before then, fair enough."
Neilson, whose side are within five points of the title, is eager to reward fans, citing how they supported the club through administration, which they exited last year after being relegated from the Premiership.
"We want to give the fans something," he told BBC Scotland. "We want them to be there, a full house.
"Hopefully we can put on a performance that wins us the title rather than another team doing us a turn.
"We've not needed it all season. We've done our own work, we've got our own points, got our own goals and would like to do it at Tynecastle.
"The fans have been absolutely magnificent all season."
Goals from Kevin McHattie, Jamie Walker and Billy King gave Hearts victory at Stark's Park, re-establishing a 20-point lead over Hibs with eight games left.
"There's a lot of young players here that are hungry to succeed, hungry to do well and there's a great spirit in the team," added Neilson.
"The boys work hard in training, they're in more than most in training. They're just desperate to do well, desperate to work for the team, work for each other."