The court announced its decision on its website Wednesday, saying the deadline was extended from April 18 to May 3.
Move Forward earlier asked the court to extend the deadline by 30 days.
Political observers have contended that Move Forward had resorted to a delaying tactic as it felt it was an uphill battle to fight the dissolution complaint filed by the Election Commission.
The Constitutional Court resolved on April 3 to proceed with a judicial review of the case filed by the EC accusing Move Forward of violating the Political Parties Act by attempting to overthrow the constitutional monarchy through its earlier campaigns to amend the lese majeste law, or Article 112 of the Criminal Code.
On March 12, the EC members voted unanimously to seek the dissolution of Move Forward, the biggest opposition party.
The EC move followed complaints filed with the election agency by Ruangkrai Leekitwattana and Theerayut Suwankesorn, two serial petitioners.