The Beatles legend has given his thoughts on Swift's career and admits he can see a "parallel" between Taylor and his band because she has achieved a level of fame comparable to the hysteria which surrounded the Fab Four in the mid-1960s.
"You do see the parallel, you know the fame and the amount of fame and the worldwide fame that Taylor Swift has and that we had," he said during an appearance on BBC show Tracks Of My Years.
Asked if he would give any advice to Taylor he replied: "I don't think she needs any advice to tell you the truth ... If she asked for it, I definitely would. I'm like the older brother to that generation, or more like the granddad, actually."
McCartney revealed he met Swift at a party organised by his wife Nancy Shevell and his daughter, fashion designer Stella McCartney which was also attended by a number of other female pop stars including Billie Eilish, Olivia Rodrigo and Sabrina Carpenter.
"We had a party, my wife and my daughter Stella, are very good at getting cool people to a party and I ended up chatting to them all," he said.
"There was Taylor, there was Billie Eilish, there was Olivia Rodrigo, there was Sabrina Carpenter, you know they're really cool people, they're very good.
"I like their voices ... If they need any advice, yeah, I would be happy to give it, but I don't think they do."
His comments come after he opened up about how he copes with fame, confessing he's learned to "deal with it" after decades in the spotlight.
"When you're first famous, you love it - because it's what you were trying to achieve," he said during an appearance on The Rest Is Entertainment podcast.
"So something goes well, people in the street recognise you, and you love it. There was none of this: 'Oh, people are bothering me' - that's a modern affliction. We loved it. And you learn to deal with it."
However, he won't pose for selfies with fans who approach him.
"It's very important for me to just be me. So I say to people: I don't want to do photos. And they say: 'Why?' And I say: 'I'll tell you what...'
"And I go into this long explanation about how, down on the south coast of France in Saint-Tropez, there's a man on the beachfront who has a monkey, and you pay to have your photo taken with the monkey.
"I really do not want to feel like that monkey. And when I take a picture with someone, I do feel like him. I'm not me anymore - I'm suddenly something else."