The Uruguayan international was unveiled as the club’s latest summer coup on Sunday having signed a three-year deal for an undisclosed fee.
The 33-year-old revealed at the press conference that Liverpool had been one of the clubs interested in his signature alongside a host of Europe's top teams.
But he resisted the lure of the Champions League to join Glenn’s new era at the Lane.
Gus said: “The most important part of this deal was Glenn Hoddle. When I knew that Glenn wanted me the decision to come here was easy. After that I spoke to my family, my wife and children.
“It was a really important decision and I am really happy, delighted and excited to be here.
“I’m like a 21, 22-year-old boy who has just signed a new contract at a big, big club. I need a holiday, everyone does, but I’m looking forward to the first of July to start training with my new team-mates.
“I’m also looking forward to starting training with Glenn and learning from him. I’ve just started my coaching licence in England as well and I hope learn much from him.”
Gustavo Poyet admitted his big decision to leave Chelsea and join Spurs was made a lot easier with Glenn Hoddle at the helm at the Lane.