In January 1994, when Allen was out of favour at West Ham United, Tottenham manager Ossie Ardiles (who had been his Tottenham teammate the previous decade) expressed interest in bringing Allen back to White Hart Lane as he looked to spend up to £500,000 on buying a striker to cover for the injured Teddy Sheringham, but the transfer did not happen.
I januar 1994, hvor Allens kontrakt med West Ham United udløb, udtrykte Tottenhams manager Ossie Ardiles (som havde været hans holdkammerat på Tottenham i det foregående årti) interesse i at bringe Allen tilbage til White Hart Lane, hvor han stod til at skulle bruge £500.000 på at købe en angriber der skulle erstatte den skadede Teddy Sheringham, men handlen skete aldrig.