Overall, 40 per cent of respondents said they would vote for Philippe Couillard's party, while 33 per cent said they would vote for the Parti Québécois. The Coalition Avenir Québec comes in third place with 15 per cent, followed by Québec Solidaire.
The Léger poll, commissioned by Le Journal de Montréal, surveyed people online from March 21 to 23.
It's the first poll to be released following last week's leaders' debate.
The results reinforce two other polls released last week, which suggested support for the Liberals was on the rise.
While the findings are bad news for the Parti Québécois, the party's hope for a win isn't quite as dim as it was on Friday, when a Forum Research poll commissioned by the Toronto Star suggested 45 per cent of people would vote for the Liberals.
PQ favourite among francophone respondents
Tuesday's Léger poll suggests the PQ is still the preferred party among French Quebecers — 40 per cent of francophone respondents said they would vote for the party.
But francophone support for the PQ isn't nearly as robust as anglophone and allophone support for the Liberals, according to the poll's findings.
Seventy-six per cent of of non-francophone respondents said they would vote for Couillard's party.
As for who they think would make the best premier, 31 per cent of respondents said Philippe Couillard, compared to 25 per cent for Pauline Marois.
There is no margin of error for the poll because it was conducted online, and is therefore considered to be non-probabilistic.