They had a cheaky £5m joint bid for Robinson and James Milner rejected last week.
But Spurs are now willing to let Robinson remain at Elland Road for the rest of the campaign before moving to White Hart Lane in the summer.
Spurs will even suggest that Robinson could sign for them now and return to Leeds on loan.
They have been tracking the 24-year-old for almost a year and they failed to land him in August but have kept up their interest.