Last week, he became the first player to make 600 Premier League starts. His next target is Giggs' overall total of 672 league games.
Yet Barry, 36, admits he will never have the last word over the Welshman — as Giggs pointed out during a cheeky video message yesterday.
Barry revealed: “I was doing an interview with Phil Neville and he said he had a message from Ryan Giggs on his iPad. He said Ryan wanted to congratulate me.
“I don't know Ryan too well personally but he is the most decorated player in the English game and for him to play on until he was 40 was amazing. He's someone you respect and it was lovely to hear from him.
“Funnily enough, he never mentioned the time I was playing for City and we beat them 6-1 at Old Trafford — he just said his was a tougher record because he'd done it at a bigger club throughout his career!
“And I'm not going to argue with Ryan Giggs about trophies and who's done what."