The Light Blues have a commanding lead at the top of the table, so appear to be well on course for a return to the Scottish Premiership.
The Gers are currently 11 points clear at the top of the Scottish Championship with just 10 games to go, which suggests that only a huge slip-up can prevent the side returning to the top flight as champions. But Warburton has claimed that there is no need for his players to look at their situation and consider a negative outcome.
"There is no fear of failure, they know they are good players, they know they are a good squad, they know they're in a good place and they've worked hard to be there," he told the Evening Times.
"But we need to just get the job done and get over the line but it's just one game at a time.
"That's how we've done it since the very first game of the season against St Mirren and now we're near the last quarter of the season and it's just focus on one game at a time.
"But there's no fear of failure because of how good they can be."
Despite their commanding position at the summit, it is perhaps their recent results that have hinted that the Light Blues may struggle to get over the line.
Although they are currently enjoying a 12-match unbeaten run, they have not won by more than one goal in their last seven games, and have relied upon desperately late winners in two of their last three encounters.
Nevertheless, Warburton's men deserve a lot of credit for maintaining their sensational form which has seen them pull away from Hibernian and Falkirk.
And while the manager may have previously been worried that some of their recent performances have not been as ruthless as the 6-0 thrashing of Dumbarton in January for example, the fact that their young squad continue to find a way to win arguably proves that they have no need to be afraid of failure, as they have the quality to hold their nerve.