Julia Gillard's campaign to portray Tony Abbott as a misogynist does not appear to be working in crucial western Sydney electorates where women clearly prefer the Opposition Leader to the Prime Minister, according to a new Fairfax poll.

In the four electorates polled - Blaxland, Chifley, McMahon and Werriwa - roughly 20 per cent of people rated Ms Gillard's performance as ''good'' or ''very good'', while about 60 per cent rated her ''poor'' or ''very poor''.

Julia Gillard ... waving farewell to the female vote in pivotal western Sydney electorates.

The poll predicts a rout for Labor in western Sydney, with ratings of Mr Abbott's performance as ''good'' and ''very good'' about double those of Ms Gillard in each of the four Labor heartland seats.

After initial poll results were published by Fairfax Media on Saturday, the former Labor leader Mark Latham warned on Sky News the Labor Party was in danger of vanishing unless it changed its platform.