It comes after a fiery first few days of the campaign, which saw the PM and his Labour counterpart Jeremy Corbyn trade blows as they geared up for the vote.
New data indicates the Tories will get 41 per cent of the vote, while Labour would receive 29 per cent and the Lib Dems on 15.
The polling, conducted by Opinium for the Observer, canvassed 2,001 British adults from November 6 to 8.
It puts the Tories down one per cent and Labour up three per cent from a similar poll carried out the week before.
A YouGov poll released on Friday showed the Labour party faltering in its traditional strongholds, down 25 per cent from its 2017 general election result in the north west.
Meanwhile another poll carried out by Electoral Calculus and released on Wednesday gave the Tories a 96 seat majority if it were to be accurate come December 12.
As the election campaigns contines at pace, Labour suffered another heavy blow on Saturday as former home secretary David Blunkett said the “anti-Semitism” and “thuggery” in the party makes him “despair”.
Lord Blunkett, previously an MP for 28 years and now sits as a Labour peer in the upper chamber, said the likelihood of Jeremy Corbyn winning a majority was “extraordinarily slim”.
However, he urged moderates within the party to “stay and fight” to ensure the “voice of reason” prevailed, following deputy leader Tom Watson’s decision to stand down.
The former Cabinet minister and party chairman’s comments came after a bruising week for the party, which saw two of its former MPs urge voters to back the Tories instead.
There was also controversy for the Conservatives, with Matt Hancock accused of “whitesplaining” by Baroness Warsi, after he said others in the party “take a more balanced approach” on Islamophobia than her.
Lady Warsi, the former Tory party chairman who has led criticism of the Conservative hierarchy’s response to Islamophobia within its ranks, said she was “glad” to have colleagues like the Health Secretary to educate her on the issue.
Mr Hancock said the Tories needed to hold an inquiry on Islamophobia within the party – though he claimed others “take a more balanced approach” on the issue than Lady Warsi.
It comes after the Prime Minister said the Conservatives would be conducting a “general investigation into prejudice” – stopping short of calls for an independent inquiry.
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