Like the Spurs ace, 17-year-old left-back Shaw came through the Saints' esteemed youth academy and the youngster is already attracting reported interest from the likes of Manchester United, Manchester City, Chelsea and Arsenal.
Bale, who also started out as a left-back before moving to the wing at Tottenham, made the move to White Hart Lane as a teenager in 2007, while fellow ex-Saints youngsters Theo Walcott and Alex Oxlade-Chamberlain made similarly high-profile transfers to Arsenal.
But despite being linked with a move to a top Premier League club, Shaw says he has no intention of leaving Southampton.
He told the Daily Star: "Seeing my name linked with those big clubs was crazy. I tried not to pay attention to it because I don't want it to get into my head.
"When the stories came out I was happy at Southampton and I am still happy. It is great club and I want to be here.
"We give youngsters chances and other clubs don't have what we have here at Southampton.
"I have been here since I was seven and I have loved every bit of it.
"There have been a few players to come through our academy and go on to success and that is what we aspire to be like."