Van Gaal, who has had spells at Ajax, Barcelona and Bayern Munich, has been linked with the vacant managerial post at White Hart Lane since the departure of Andre Villas-Boas last Monday.
When asked about the possibility of him moving to north London, the 62-year-old, whose contract with the Dutch FA expires after the World Cup in Brazil, told Dutch broadcasters NOS: "I've always said that I want to work in the Premier League, so there's a chance.
"But I've also read that Frank de Boer and Guus Hiddink were in the picture. Everyone who knows me knows I won't do two jobs at the same time."
Meanwhile, former Spurs boss Glenn Hoddle admits he would welcome a return to the club 10 years after being sacked.
The 56-year-old sat in the White Hart Lane dugout between 2001 and 2003 and is currently without a club, having last managed at Wolves in 2006.
It remains to be seen if Tottenham chairman Daniel Levy wants to give Hoddle a second chance, but he is willing to take any opportunity there may be.
Speaking on Sky Sports 1 before the clash with Southampton, he said: "Do I want the job? Well I've had the job there once.
"Tottenham Hotspur, you know I supported them when I was eight years of age. I went there at 12, left there at 28. Went back and managed. It's in my blood. It's in my bones.
"If I was offered the job, yes I would want to go back, even if it was for the sake of the club. (Interim manager) Tim (Sherwood) is in pole position here."
Sherwood took the side for Sunday's 3-2 win at St Mary's in a caretaker capacity and also wants a permanent position with the club.
"If the club felt that they wanted me to go in until the end of the season even, they wanted something else long term, I would be prepared to do that because I love the club," added Hoddle.
Hoddle insists he has not been contacted by Levy, and added that he would be willing to work for the man who sacked him a decade ago.
"They've not offered me the job, so it's all speculation, it's all a bit of media hype," he said.
"It's a different club completely this time. I think I had a squad that was ageing at the time, we were bringing free transfers in, we brought Teddy Sheringham and Gus Poyet in on free transfers.
"This isn't the same scenario at this club at the moment. It's a completely different scenario to that. I think there's a way forward."