The Sunday Times said the "less than convincing" figures do show the party is doing better with women in the constituency than men, with the party on course to win back 17 per cent of female voters who backed Boris Johnson in 2019 compared to just three per cent of men.
It follows two polling companies recently showing leads of around 20 percentage points for Labour in the constituency.
The Sunday Times story said that the polling in Wakefield is reflecting a broader national picture where Labour is winning back more women voters from the Tories than men.
It said: "Nationwide, Starmer’s pollster Deborah Mattinson has told him the party is winning 10 per cent of Tory 2019 voters, but has gained nearly 20 points with women. At the last election the age at which people, on average, switched from voting Labour to voting Tory was 40. But Labour now enjoys healthy leads with voters aged 35 to 49 and 50 to 64. They have also gained 20 points with the over-65s — though that is the one demographic where the Tories are still ahead."
The newspaper also reported: "If Boris Johnson’s Tories lose the Wakefield by-election on Thursday, it is likely to be at the hands of the constituency’s women.
"Polling by JL Partners suggests about 30 per cent of men are set to vote Tory compared with 27 per cent of women — yet 55 per cent of women are expected to back Labour, compared with 42 per cent of men."
The reports come after Labour leader Sir Keir Starmer urged supporters not to be complacent with just a few days to go before the Wakefield by-election, telling them a victory “could be the birthplace of the next Labour government”.
Sir Keir addressed a rally of supporters in the city centre on Saturday morning with his party now odds-on favourites to take back the seat they lost in 2019 as part of the Tories’ takeover of “red wall” constituencies across the north of England.
He said: “It feels like we can reach out and touch this. It feels positive.
“We’ve just got to make sure we don’t take our foot off the pedal now, there’s no complacency.
“We know how hard this is. We lost in 2019. We have to earn every vote.”
Standing on the steps of his party’s regional offices, Sir Keir said: “If we get it right, this Wakefield by-election could be the birthplace of the next Labour government.”
But he warned: “We have to remind ourselves that we’ve only gained one by-election in the past 25 years.
“So, we have to keep going for these last few days to make history.”
Sir Keir appeared relaxed as he addressed a large crowd of supporters along with Labour’s by-election candidate, Simon Lightwood, and shadow cabinet members Louise Haigh and Jonathan Ashworth.
Wakefield was won by the Tories in the 2019 general election after being a Labour stronghold since the 1930s. But a by-election was called after the resignation of Conservative Imran Ahmad Khan, who won in 2019, following his conviction for sexually assaulting a boy.
The Tories have selected Wakefield councillor Nadeem Ahmed to defend the 3,358 majority the party secured in 2019.
Earlier this week, Mr Ahmed compared trust in the Tories following the resignation of Mr Khan, to faith in GPs despite the crimes of mass murderer Harold Shipman.
Prime Minister Boris Johnson was expected to visit the constituency on Friday to support the Tory campaign but cancelled along with his visit to the Conservatives’ Northern Research Group conference in Doncaster, due to his surprise trip to Kyiv.
When nominations closed last month there were 15 candidates, including Mr Lightwood and Mr Ahmed.
The others are: Akef Akbar (Independent); Paul Bickerdike (Christian Peoples Alliance); Mick Dodgson (Freedom Alliance); Sir Archibald Stanton Earl ‘Eaton (Monster Raving Loony); Jayda Fransen (Independent); Jordan Gaskell (Ukip); David Herdson (Yorkshire Party); Therese Hirst (English Democrat); Christopher Jones (Northern Independence); Jamie Needle (Liberal Democrats); Ashley Routh (Green); Ashlea Simon (Britain First); Chris Walsh (Reform UK).
The Wakefield poll is being held on the same day as the Tiverton and Honiton by-election, which was called after Tory MP Neil Parish resigned over his viewing of pornography in the Commons.
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