The Hammers won 3-0 in the Premier League encounter in October in one of the results which ultimately cost Andre Villas-Boas his job and saw Sherwood placed in charge.
And Sam Allardyce's men completed a second successive win at White Hart Lane with a come-from-behind 2-1 triumph to set up a League Cup semi-final with Manchester City.
Spurs are out of the competition and without a permanent boss, but Sherwood suggested he would be keen on the role despite not yet being informed by chairman Daniel Levy if he will be in charge of Sunday's match with Southampton.
"The immediate future is up in the air, that's as much as I know," said Sherwood, who was due to take the development team for training on Monday morning before receiving a call from Levy instructing him to take charge of the first-team instead.
Asked if he would like the job, Sherwood said: "It would have to be right for me and right for the football club. There are a lot of big names being bandied about to take this job.
"I think the chairman and the football club need to make the correct decision and find the manager who's best compatible to take this football club forward.
"I've got to be in the frame, but it's not my decision, unfortunately."
Reflecting on the last 48 hours, former Spurs captain Sherwood, who has never before managed a team, said: "It's madness.
"I'm up for a challenge. I always have been. I'm very opinionated.
"I know a certain way I need to play. I think I can manage men and deal with them and be honest with them.
"That decision going on is out of my hands, unfortunately."
Sherwood admitted Spurs' confidence is fragile.
He said: "The confidence is low. It takes a battering when you lose a few games, but it's up to whoever's in charge on Sunday and training on Friday to get them prepared.
"If it's me I certainly won't be going in all doom and gloom. You need to lift these guys and we have to go and get a result for the football club."
Nevertheless Sherwood paid tribute to Villas-Boas.
He added: "I think he did a good job at the football club as a whole. I wish him well. He's a really nice guy and everyone liked him around the football club.
"It's the decision the club decided to make and we all have to abide by it."