Jamie MacDonald believes Hearts can retain their place in the top flight of Scottish football, despite failing to reach positive figures after 23 games of the campaign.
Hearts were docked 15 points for entering administration last summer and with just 15 matches remaining, they prop up the league on minus-one, 22 behind second from bottom Partick Thistle.
A trip to Ross County on Saturday is next up for Hearts and MacDonald is hopeful a victory there will kickstart their season.
Speaking to Sky Sports News, the keeper said: "We are not stupid, we know we are in a fight and it's a hard task for us.
"But until it is mathematically certain that we are down, we will keep fighting. You could see that at the weekend when we came back from 3-1 down to draw with St Johnstone."
Hearts forward Ryan Stevenson saw red for his part in a late melee at McDiarmid Park and he is suspended for the weekend trip to Dingwall.
However, with Hearts rearranging a league fixture against St Mirren, Stevenson will be available for the League Cup semi-final against Inverness at Easter Road on February 2 and MacDonald admits his inclusion is a huge boost for the club.
"He is our most experienced player and that is the one thing that we are needing at the moment," he said.
"For him to be missing the League Cup semi-final would have been a big loss for us but thankfully he will be available now."