Gomez is one of seven players who arrived at Anfield this summer, with the 18-year-old signing for £3.5 million from Charlton Athletic, and after an impressive pre-season he made his full debut by playing the entire 90 minutes of the Reds' opening day victory over Stoke City.
O'Driscoll recalled a time when he saw the teenager during their time working together for the England Under-19s.
He's quoted in the Liverpool Echo, saying: “I saw Joe as a fantastic 17-year-old when I first came across him.
“He played against Germany in Dusseldorf for the under-19s – playing up an age group which is part of the FA remit to bump talented players up and play them.
“His composure struck me. That doesn’t happen many times in football where you sit and go ‘ooohhh’. There are lots of good players out there but very few who make your back straighten. He was one.
“When we reviewed that game against Germany, Joe’s performance at centre-back was the big standout for me.
“I’d seen him play in various positions across the backline for Charlton. When I was chatting about players in my England Under-19s squad, he was one I was surprised that no Premier League club had come in for him.”
Liverpool changed that and Gomez has already demonstrated his versatility. Having arrived at the club billed as a right sided centre-back who can also play at right-back, he started the season at left-back and is likely to retain his place in the role when they take on Bournemouth at Anfield tonight.
Judging by what he has shown so far, it is of little surprise that composure is talked about a great deal as he handled the threat of Jonathan Walters at Stoke with great maturity and refused to let himself be bullied, while he looked carefully where to position himself and you could tell there was a lot of thought to his game, especially in possession.
No doubt there will be a few voices saying people shouldn't put too much pressure on Gomez saying he is the next best thing, and that there are several more years of development left in him, but if he continues to impress then plaudits are going to get a bit more frequent, and louder.