The manager's name was mentioned in just about every speculation piece written in Wednesday's newspapers following the news that Gianluca Vialli had been sacked. He was even installed as 13-2 fourth favourite for the job by bookmakers.
A former Chelsea player in the 1960s, Graham insisted: "I can't comment on what can only be speculation, but really it is all irrelevant.
"I've got a big job to do at Tottenham and I'm determined to see it through. I'm as fully committed to it as ever.
"It is always a compliment when you are linked with other big clubs and Vialli has left Chelsea with some great players in the squad.
"But I have plans to bring success back to Spurs and that is still the case - very much so."
Graham arrived at the Lane in September 1998 after helping turn around the fortunes of Leeds United. Within six months he'd won the Worthington Cup and taken us back into Europe but disappointment followed last season when we were knocked out in the early rounds of cup competitions and eventually faded into tenth in the Premiership.
Long-term, he is determined to take on the current big five in the Premiership and we have made a bright start towards this season's target of finishing in the top six and getting back into Europe.
He added: "I never said anything other than it would take time to make Spurs a success story again. You can't expect these days that a team which has just avoided relegation, as Tottenham did the season before I came, will be challenging for the title within a couple of seasons."
George Graham has underlined his commitment to Spurs after speculation linking him with the vacant Chelsea job.