The four countries have not made their demands public yet.
According to News Grid, Al Jazeera was cited as saying that they "condemn the demands" that their media outlet should be shut down, saying that it is "nothing short than a siege against the journalistic profession".
-End diplomatic ties with Iran and limit trade with Iran to business that does not violate USA sanctions.
- Cut ties to extremist organizations. Revoke Qatari citizenship for existing nationals where such citizenship violates those countries' laws.
Al Jazeera said any call to close down the network were an attempt to silence freedom of expression in the region.
"These demands must be agreed within 10 days, otherwise they would be invalidated", according to the document.
Qatar foreign minister has said the country will not negotiate sovereign and internal matters including Al Jazeera's editorial line under pressure from its neighbouring states.
The 13-point list also asks Qatar to sever all ties with the Muslim Brotherhood and Lebanese Hezbollah resistance movement.
Provide all the information they have about the opposition members that Qatar has funded in Saudi Arabia.More news: Russia claims it has killed IS leader al-Baghdadi
He also noted that Qatar "has for many years openly financed Hamas, a group that continues to undermine regional stability".
Qatar has insisted its neighbors are trying to force it to bend to their will on a much broader set of issues, and as the crisis has dragged on, the USA has started publicly questioning whether ulterior motives are involved.
"Qatar will realize that this is a new state of affairs and that the isolation can last for years", said the Emperor of Foreign Affairs Minister Anwar Gargash to journalists in Paris.
Saudi Arabia and other Gulf states on Friday demanded the closure of broadcaster al-Jazeera, among other conditions, in return for the lifting of its trade and diplomatic sanctions.
In a press conference yesterday, U.S. state department spokesperson Heather Nauert said they believe the ongoing dispute "can be resolved with the parties themselves".
The first Turkish ship carrying some 4,000 tonnes of dry food supplies, fruit and vegetables set off from a port in western Turkey's Izmir province at dawn on Thursday.
Turkish Defense Minister Fikri Isik said on Friday that Ankara does not intend to shut down its military base in Qatar, stressing that the site aims to train Qatari soldiers and increase the tiny Persian Gulf nation's security.
"I have not seen this request officially, but if it exists then it would be construed as intervening in bilateral relations".
The list will include Saudi, Emirati, Bahraini and Egyptian demands, Kalin said, adding that Ankara will follow up on the matter.