The Kansas City Chiefs star was filmed playing golf with Parsons earlier in the day before heading back to the former NBA player’s home to hang out with his family.
Pictures uploaded to Instagram showed Kelce beaming as he held Chrome, who was appropriately wearing pajamas covered in footballs.
Parsons’ wife, Haylee, captioned the picture: ‘Uncle Trav’s in town!’.
She also posted video of Kelce signing Chrome’s cranial helmet, which is fitted to correct the shape of a baby’s skull.
‘Making cranial helmets cool!’, Haylee commented before posting another video of Kelce completing the signature.
The sight of Kelce with a baby will undoubtedly excite Taylor Swift fans as the loved up couple’s relationship continues to thrive.
While there appears to be no children on the immediate horizon for the A-list couple, Swift has showed her maternal instincts in the past.
She is the godmother to actress Jaime King’s child and adorable photos of them together were posted on Instagram around eight years ago.
Kelce sparked engagement rumors and talks of having a baby with Swift earlier this month.
He was discussing ‘lab-grown’ rings and NBA players, like Victor Wembanyama, as he told his older brother Jason that he can’t wait until he ‘f***in’ makes his own little (or giant, rather) athlete, one day.
Travis and Taylor recently returned to the US after enjoying a break in the Bahamas where they were pictured frolicking on the beach and enjoying a kiss in the ocean.
The much needed vacation came after months of flying around the world to see each other amid their busy schedules.
But things have slowed down for them as of late, with the latest leg of her Eras Tour wrapping earlier this month and the athlete’s football season coming to an end in February.
‘This is the first time the two of them have had no commitments and they are both really looking forward to being a normal couple and playing house,’ a source previously revealed to DailyMail.com.
Taylor is known for spending her downtime baking and hosting friends – and the singer is said to be looking forward to doing the same with her partner.
‘She is looking forward to sleeping in and cooking dinners at home,’ the source continued.
‘They both want their relationship to be as normal as possible and it works because they are both very aware of their fame but neither let it go to their heads.’
However, the duo will still have to travel back and forth between their home bases in Kansas City, Missouri and New York City as Taylor prepares for the release of her next studio album, The Tortured Poets Department, on April 19.
The insider continued: ‘They will split their time between his house and NYC. Taylor is off Eras until May but that doesn’t mean she’s off completely.
‘She is working on her push for everything Tortured Poets in April and Travis is going to be there every step of the way.’