The former Villarreal hitman headed for the Super League in February, scoring 19 times in 23 appearances.
Spurs failed to sign a new face during the summer but are ready to invest in January to avoid their players tiring throughout the season.
A striker also remains a problem for boss Mauricio Pochettino as he attempts to lessen the burden on Harry Kane's shoulders.
Previous back-up forwards Vincent Janssen and Fernando Llorente have failed to deliver since arriving to north London.
According to L'Est Republican, Tottenham have already made contact over a potential deal for Bakambu but his huge wage could be a problem for the notoriously frugal Daniel Levy.
Bakambu, 27, found the net nine times in 15 league starts for Villarreal before making his £35.4million switch.
His 16 goals so far this season is a career best having previously finished the campaign with 13 during his one season with Turkish side Bursaspor.
SunSport exclusively revealed how Spurs are ready to make a move for Bournemouth ace Nathan Ake as a long-term replacement for Jan Vertonghen.
Dutch star Ake, 23, is thought to be valued at around £40million and has impressed for Eddie Howe's side so far this season.
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