The forward signed for the club from Paris Saint Germain on a free transfer, but the Brazilian - who was top scorer in Ligue 1 seems to be a little way short of match fitness.
Allardyce told reporters at his pre-match press conference ahead of the game: "Nene isn't ready physically yet. He's just started training with us, it'll be about 10 days maybe two weeks before he's ready.
"It's great to have a player like Nene, with his CV, at the club. We're all looking forward to seeing him play."
The Hammers will be keen to bounce back from their last outing as they were left humbled after their 4-0 thrashing at the hands of West Bromwich Albion in the FA Cup, which saw Morgan Amalfitano sent off, meaning he begins his three match suspension this weekend.
Despite one avenue to Europe closed off with the cups, Europe seems to remain a target for Allardyce through the league places but their form has slowed a little recently having not won in each of their last three games - losing to Liverpool and drawing against both Manchester United and Southampton, and Big Sam is eager for his side to convert the draws into wins.
He added: "We have to convert more draws into wins. That's the reality if we want to get into Europe, which I think we are capable of."
A win at White Hart Lane would be an ideal way to revive their campaign for European competition with Spurs above the Hammers in the current league standings with five point separating them - and Allardyce will be keen to avenge a 1-0 defeat from the opening day of the season when Eric Dier struck in stoppage time.
They will be boosted by the return of three key players, with the West Ham manager adding: "Winston Reid, Matt Jarvis and James Collins are all back in training and available for Sunday.
"Having those players back for us is huge and if we avoid further injuries we'll have a good rest of the season."