Hearts are keen to move on from the spat between manager Paulo Sergio and Kilmarnock boss Kenny Shiels.
Sergio refused to shake Shiels' hand either side of the 1-1 Clydesdale Bank Premier League draw on Saturday, upset at his counterpart's comments on the off-field turmoil at Tynecastle. Speaking ahead of Tuesday's William Hill Scottish Cup fifth-round replay at St Johnstone, first-team coach Gary Locke insisted the incident was now firmly in the past.
"It's been a week of tit for tat, but the game's gone now, what's happened has happened and we've got to draw a line under it," Locke said.
"We've got a lot of respect for Kilmarnock and the people that play and work there. They've done well to get to a cup final (in the Scottish Communities League Cup) and good luck to them.
"They've got important fixtures coming up, so have we, and I think it's important for everyone that we move on."
The Luis Suarez-Patrice Evra controversy in the Manchester United versus Liverpool match on Saturday heightened conjecture over the necessity of the pre-match handshake routine.
Former midfielder Locke, who played for both Hearts and Kilmarnock, added: "I don't think there's a big problem with shaking hands with your opponent before the game.
"When I played you shook hands after the game and wished each other all the best and I think that would be the best way to go about it."
Advancing in the cup at McDiarmid Park could provide an ideal tonic for Hearts, whose off-field worries could rear their ugly head again this week with the threat of liquidation hanging over them over an unpaid tax bill and the players' wages due on Thursday.
Last month was the first time in four months the Hearts players were paid on schedule, thus avoiding unlimited sanctions from the Scottish Premier League.