Marvin Bartley admits Livingston's survival would be "an even greater escape" after a draw with Aberdeen moved the West Lothian side closer to relegation.
With the bottom team eight points adrift and having only three games left to play, a win for Kilmarnock at home to Dundee United on Saturday would be enough to confirm demotion for Livi.
Mitchel Frame's first senior goal and a Daniel Finlayson own goal put Aberdeen in front but Joel Nouble and substitute Robbie Muirhead netted equalisers.
"It's become an even greater escape, we need a favour tomorrow," said Bartley.
"If it doesn't go our way, nothing will change in the next two weeks in terms of the way we train."
As for Stephen Robinson's Aberdeen, they are nine points clear of the relegation play-off spot occupied by Killie. St Mirren, who visit Dundee on Saturday, sit two points above Killie and like Aberdeen are safe from automatic relegation.
Left-back Frame received Dennis Geiger's pass and finished well with his right foot midway through the first half.
Nouble was denied an equaliser by Dimitar Mitov's superb save but the striker was alert in the six-yard box at a corner early in the second period. Mo Sylla's header came back off the upright and Nouble forced in as Aberdeen struggled to clear.
Stuart Armstrong's free-kick was helped on by the head of Kevin Nisbet and Finlayson's intervention took the ball past Jerome Prior.
But Livi rallied again, with Muirhead curling impressively from the edge of the box and prompting a late, if unsuccessful, push for victory.
Muirhead tried again but a combination of being off target and Aberdeen getting bodies in the way prevented any further scoring.