Spurs are keen on snapping up the winger, who new boss Nuno knows well, but have so far failed to convince Wolves to let him go.
Tottenham could try again on deadline day, but Wolves are clear that they do not want to let the winger depart.
It is claimed that Wolves will not sell Traore unless a bid in the region of £50m is made for his services.
With Tottenham not having sold Harry Kane and football managing director Fabio Paratici wheeling and dealing in the transfer market, a bid of the level needed to sign Traore today could be unlikely.
Tottenham are moving to sign Emerson Royal from Barcelona and could offload either Serge Aurier or Matt Doherty.
Wolves meanwhile may land Lille midfielder Renato Sanches on a loan deal.
A swoop for the Portugal international midfielder is though claimed to be hanging in the balance as the transfer clock ticks down.