The 'Shake It Off' singer shared this beautiful picture to Instagram showing herself gazing down at newborn baby Leo as Leo's mum, actress Jaime King, watches on with a smile.
Taylor's caption read: "Meeting my boy."
Hart of Dixie and Pearl Harbour actress Jaime King revealed in May that she'd already asked Taylor to be godmother to her son Leo Thames Newman, who was born on 16 July.
Jaime is married to director Kyle Newman.
Explaining the decision to name Swift as godmother, Jaime previously told People magazine: "For me, choosing a godparent is a very sacred experience. It wasn't because it was this person and the name. It was really because of her morals and her values, the way that she treats people and how hard-working she is, her family and how close she is to them.
"I see what she gives out there to her fans and to her family. That's the kind of person I want to be the guide and the spiritual protector of my child."