Villas-Boas said: "There was an interest from Fulham. I'm not sure if they're going to follow on that interest.
"We've allowed the club to speak to the player. He's a player we rate very highly."
Fulham boss Martin Jol, though, played down the chances of getting a deal done on deadline day.
"I think it is awful to get a permanent transfer for someone like Tom Huddlestone on the last day," he said.
"I started five weeks ago and that won't happen on the last day."
Zeki Fryers and Lewis Holtby are the only arrivals at Spurs so far this month and Villas-Boas does not expect any more.
"We look to be quiet in the market," the Portuguese said. "It's not impossible that a couple of things happen. It's highly unlikely.
"We need to add quality to the squad and our quality to the squad is keeping the players we have now and Lewis arriving."
Holtby made his debut as a second-half substitute at Carrow Road and impressed.
Villas-Boas added: "It was extremely good to see him out on the pitch. I think he had the right impact for such a short time."
Spurs were indebted to Gareth Bale for a point as the Welshman's wizardry conjured up an equaliser following a scintillating run, cancelling out Wes Hoolahan's 32nd-minute opener.