She amusingly wrote as the caption: ‘If you’re gonna try to make a headline out of this you better offer a suggestion of a better audio… because there isn’t one.’
The song was released by Swift on the 2010 record Speak Now.
The video posted by Kylie showed their oldest daughter Wyatt as a toddler and now as young child.
Kylie and Jason have three daughters together – Wyatt is the oldest sister to Elliotte and Bennett.
Kylie is not believed to have met Taylor yet – the pop star was meant to be attending the Eagles vs Chiefs game in November but she had to reschedule a Brazil tour date and as a result, did not attend the game.
Jason and the Eagles emerged victorious against Travis at Arrowhead Stadium that day and the Chiefs has struggled a bit for consistent winning form in recent weeks.
Travis’s team returned to winning ways against the Raiders the following week but lost again on Sunday night in the late game against the Green Bay Packers, taking their record for the season to 8-4.
It was the first game of the Chiefs that Swift had watched for around a month due to her tour commitments.
The Chiefs won last season’s Super Bowl against the Eagles, pitting Jason and Travis against each other in the biggest game of them all.
The Eagles are 10-2 for the season so far, losing for the second time this season to the San Francisco 49ers on Sunday.