Should Barnier lose the vote, as is expected, he will become the shortest-serving prime minister in modern French history.
The EU’s former chief Brexit negotiator was appointed by President Emmanuel Macron in September and given the impossible mission of passing a slimmed down budget without a parliamentary majority.
Barnier is set to give an interview on French television on Tuesday evening, in what could be a last-ditch appeal to lawmakers to refrain from toppling the government.
If the parliament does oust Barnier, it would be the first time a French government has suffered the humiliation of losing a no-confidence vote since 1962.
Sarah Paillou contributed to this report.