The winger is 4/6 to join the Blues and punters have since lumped on the Eagles ace to make the switch.
Zaha was a constant threat for Palace during their 3-1 defeat away to Chelsea on Sunday – with Maurizio Sarri praising the forward.
The Italian boss said it's difficult to play against the skilful forward due to his pace.
Coral's John Hill said: "Many punters are expecting Chelsea to make a move for Zaha in January as we have seen a surge of bets in the last few hours on the Blues signing the Eagles forward when the transfer window reopens.
“Chelsea have made a fantastic start to their Premier League campaign and if they can add Zaha to their squad in January, their odds on winning the title will definitely shorten."
Ladbrokes: Wilfried Zaha next club in January
Man City 8/1
Meanwhile Tottenham are second favourites to sign the winger at 4/1.
Spurs have been long-term admirers of the 25-year-old after being frequently linked with him in the past.
Zaha put pen to paper on a five-year deal in August but that has not put an end to the transfer speculation surrounding the Ivory Coast international.
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