According to the latest Newspoll published in Monday's The Australian, the coalition trails Labor 48-52 per cent on a two-party preferred basis.
However, the coalition has narrowed the margin by a point.
Mr Turnbull laid out several reasons for challenging the sitting prime minister in 2015, which included Mr Abbott's loss of 30 Newspolls in a row.
Mr Turnbull told The Australian, after being told of the Newspoll results on Sunday, that he was confident he had the backing of the partyroom and would be staying as leader to fight the election next year.