Kane was rested along with Ryan Mason and Mousa Dembele for Thursday night’s 1-1 draw with Fiorentina in the Europa League, but all three are likely to come back in against the Hammers.
Spurs head coach Mauricio Pochettino has no injury concerns as his side embark on their second of six games in 17 days.
West Ham will welcome both Winston Reid and James Collins back into their squad for their London derby at Tottenham.
The defensive duo have been missing with hamstring problems but are both back in training – as are Diego Poyet and Cheikhou Kouyate, who is available despite suffering a minor arm injury earlier in the week.
Morgan Amalfitano is suspended and Nene, who was signed earlier in the week after Andy Carroll (knee) had been ruled out for the season, will also miss out as he is not yet match fit.