Qatar can move goods in and out whenever they want.
Erdogan also said he would hold a conference call on Tuesday with his French counterpart Emmanuel Macron and the Qatari Emir Sheikh Tamim Bin Hamad Al-Thani to discuss recent developments.
Qatar denied allegations over its support to terrorism and extremism adding that the diplomatic rift was based on "baseless fabricated claims".
Russian President Vladimir Putin and Saudi King Salman discussed the crisis on Tuesday, with Putin warning that isolating Qatar would make finding a peaceful end to the war in Syria more hard.
Turkey's parliament last week approved deploying troops to a Turkish base in Qatar in what was seen as a show of support for its embattled ally.
On Sunday Saudi Arabia's arch-rival Iran announced it had sent five planes carrying produce to Qatar.
Saudi Foreign Minister Adel al-Jubeir, in Washington for talks with US Secretary of State Rex Tillerson, insisted that moves to isolate Qatar were reasonable.
Jubeir said the closure of the border had been eased to allow divided families to be reunited, and that Saudi Arabia would send food or medical aid if needed. He said that Qatar is a country "on which a death sentence in some way has been pronounced".
But Emadi said the energy sector and economy of the world's top liquefied natural gas exporter were essentially operating as normal and that there had not been a serious impact on supplies of food or other goods. Oman has stayed out of the conflict.
The US ambassador to Qatar said Tuesday she is leaving her post in Doha, in the midst of the worst diplomatic crisis involving America's Gulf allies in years.
Two large regional powers on either side of the Sunni-Shiite Islamic sectarian divide, Saudi Arabia and Iran have been engaged in a longstanding cold war, tussling for influence in countries in their sphere of influence, especially Syria, Lebanon and Yemen, where Saudi-led bombing has left thousands of civilians dead. It quotes the prime minister as saying he hopes the dispute between Qatar and its Arab neighbors will be resolved soon.
While Saudi Arabia has been threatened by the group, officials in the region and their Western counterparts have claimed ISIS receives funding from backers inside the Kingdom as well as from other rich Middle Eastern countries. The Eritrean Information Ministry statement of support came despite previously close ties with Qatar.
On 5 June, these three countries, in addition to Egypt, broke diplomatic relations with Qatar and implemented a series of economic reprisals after claiming that Doha funds terrorist groups.