Having sacked Andre Villas-Boas following last weekend's 5-0 humiliation by Liverpool, Spurs put head of football development Sherwood in temporary charge of first-team affairs.
The former midfielder's first match as interim manager ended in a midweek Capital One Cup exit to West Ham, but things went much better on Sunday as the north Londoners won 3-2 at Southampton.
The three points will certainly not do Sherwood's chances any harm and the bookmakers' favourite hopes to take control of the Boxing Day clash with West Brom with a clearer idea on his future.
"[What is] ideal for me is to have a chat with the chairman and see what's best for the football club moving forward," Sherwood said.
"I need to know what they're thinking moving forwards. I don't want this job for five minutes. That's of no interest to me.
"It is [a case of] are we going to move it forward or not? That's where we are.
"There are some great candidates out there for this job. It's a massive club with history and tradition.
"It is fantastic, a great honour to represent them, but it needs to be right for me and, first and foremost, right for the football club.
"I need to talk to the chairman and see what he's got planned. I'll see him [today] because I'm in at the training ground."
Behind Sherwood in the bookies' eyes is former England and Tottenham manager Hoddle, who expressed his interest in the job before the match at Southampton.
Another in the frame appears to be Holland coach Van Gaal.
With previous experience at the likes of Ajax, Barcelona, Bayern Munich, the 62-year-old confirmed he would be interested in managing in the Barclays Premier League - albeit not in a job share situation.
"Everyone who knows me knows I won't do two jobs at the same time," Van Gaal told Dutch broadcaster NOS.
Van Gaal's contract with the KNVB (Dutch Football Association) expires after next summer's World Cup in Brazil and he suggested he would then be open to a move to England.
"I've always said that I want to work in the Premier League, so there's a chance," he added. "But I've also read that Frank de Boer and Guus Hiddink were in the picture."
It is Sherwood, though, that appears to be in pole position after overcoming Southampton, thanks to Emmanuel Adebayor efforts either side of a Jos Hooiveld own goal.
Saints, who took the lead through Adam Lallana and made it 2-2 through Rickie Lambert, have now gone six matches without a win - hardly the best preparation for trips to Cardiff and Everton.
"It was very frustrating, we are very angry about the result," said manager Mauricio Pochettino, who has also been linked with the vacant Spurs post.
"We actually dressed up as Santa Claus today and gifted them so many goals and so many chances."