Lecornu made the remarks as President Emmanuel Macron gave him until Wednesday evening to conduct "final negotiations" on the formation of a new government, Xinhua reported.
He reiterated that "the public deficit target must be kept below 5 percent" in the next budget, specifying a range of "between 4.7 percent and 5 percent on a final basis."
He met centrist and right-wing politicians on Tuesday and will continue his consultations on Wednesday with representatives of left-wing parties.
Lecornu, appointed early last month, quit Monday, a day after unveiling a cabinet lineup that was nearly identical to its predecessor and drew sharp criticism across the political spectrum.