Hit It Off with Brittany Mahomes

Taylor Swift might be inching closer to adding another member to her girl squad ... and she's got some serious ties to Travis Kelce and the Kansas City Chiefs.

Sources with direct knowledge tell us Taylor and Chiefs' QB Patrick Mahomes' wife, Brittany Mahomes, really hit it off Sunday night at Kelce's private post-game party. Our sources say the two chatted a ton at the bash ... and at one point even took a shot together.

What's more, we're told, Brittany and Taylor were overheard saying they wanted to stay in touch ... and have plans to meet up again in the near future.

Of course, Taylor's supposed to attend this Sunday's Chiefs game against The New York Jets at MetLife Stadium in New Jersey…