Spurs boss Mauricio Pochettino wanted Abraham as a backup for the primary frontman Harry Kane.
But Chelsea had no interest in losing the promising future for their rival in London.
The 20-year-old scored five times last season when he was loaned in relegated Swansea.
Abraham is currently behind Alvaro Morata and Olivier Giroud in the pecking order at Stamford Bridge.
Maurizio Sarri did not mention the international of England in his Chelsea squadrons for the first two games of the season.
And according to TargetSpurs thought that a bid of £ 25 million would have been enough to persuade Chelsea to cash the star.
De Blues, however, decided to loan fellow spokesman Michy Batshuayi in La Liga to Valencia.
The move meant that Abraham would be the club's third choice striker and likely to see action in the Europa League and the Carabao Cup.
Aston Villa goods thought it was close agreement a deal to loan Abraham earlier this summer.
But for now it looks like he will be a Chelsea player in the near future.
Meanwhile, Tottenham did not sign any players during the summer transfer window.
It was the first time that a side of the Premier League had not put a signature since the introduction of the transfer window for the 2002/03 season.