The Light Blues are currently eight points clear at the top of the Scottish Championship.
The Gers are currently eight points ahead of Hibernian at the top of the Scottish Championship, and Warburton has hinted that his men are more than aware of the importance of ensuring that they meet the minimum requirements at Ibrox.
"People say players don't play for the jersey any more but that's nonsense," he told the Record.
"Obviously Andy Halliday is an easy example because he's a Glasgow boy, but look at Wes Foderingham, James Tavernier, Dominic Ball, Gedion Zelalem - look at the pictures when they score a goal or make a tackle. It means so much to them.
"What they do recognise now is the weight of the jersey in terms of the expectation.
"It's about enjoying that weight of expectation, if you thrive on it, you will be in a good place. If you can't handle it, then you won't be here very long."
Given the Light Blues' incredible history, it is fair to say that before the start of the season, anything less than promotion would be considered a failure, especially given the disappointment of how close they came to securing their long-awaited return to the top flight during the last campaign.
However, now Warburton's men have taken a commanding lead in the division, the minimum requirement is surely to go up as champions, and do it in some style.
Running away with the division is not necessarily important for what they hope to achieve this term, but they will surely want to do it to send a message to those currently in the Premiership that they are well on their way to returning to the summit of the Scottish game.
The fans would expect nothing less.