The Scottish Championship leaders lost to their nearest rivals, despite being 2-0 up with 20 minutes to go.
The Light Blues lost for the first time in three months in their most recent game as, despite taking a 2-0 lead inside 10 minutes and holding onto that lead until the final 20 minutes, the Bairns rallied to score three times to turn the game completely on its head.
Despite the setback, Warburton has claimed that the reaction among the squad following the loss has been hugely encouraging.
"We are in good shape. We never want to lose a game of football, never want to drop points," he told the Evening Times.
"But we are in good shape still. The team have trained outstandingly well last week and that showed in the way we started the game against Falkirk.
"Again this week, first class and [I am] really pleased with the level of training, the quality in training. We are in good shape."
While the defeat would have been a huge disappointment, as they surely would have liked to have sent a message to the clubs in the Scottish Premiership by going through the rest of this campaign unbeaten, they still boast an 11 point lead at the top of the Scottish Championship and have an opportunity to extend that lead as they boast a game in hand over last week's opponents, so have plenty of reasons to be positive still.
And having dominated the division for most of the campaign - apart from a brief blip before Christmas where they won just two times in six league games - the result may actually prove beneficial to the Ibrox club as the experience should ensure that they do not allow any complacency to creep into their game in the future.