Saudi Arabia, Egypt, the UAE and Bahrain have extended the deadline for Qatar to accept a list of demands or face further sanctions by 48 hours.
The initial deadline for Qatar to agree to the group's 13 demands, including the shutting down of the Al Jazeera news network, expired on Sunday.
The Gulf state, which denies funding extremism, is expected to submit a formal response on Monday. It has called the demands an "affront to international law and comity," BBC reported.
The state's foreign minister Sheikh Mohammed bin Abdulrahman bin Jassim Al-Thani will travel to Kuwait on Monday morning to deliver the formal response in a letter, sent from the emir of Qatar to the emir of Kuwait, who is the main mediator in the Gulf crisis.
On Saturday, Al-Thani said that the state had rejected the demands, but was ready to engage in dialogue under the right conditions.
On 23 June, Saudi Arabia, Egypt, the UAE and Bahrain set a deadline of 10 days for Qatar to agree to their requirements, which include the closure of a Turkish military base and the curbing of diplomatic relations with Iran.