In a statement at a Kuwaiti parliament session on Tuesday, the emir warned GCC leaders of the potential dangerous military and political intervention that may ensue as a result of the political deadlock.
"Contrary to our wishes and hopes, the Gulf crisis has the potential of escalating; therefore, all of us must be fully aware of its potential consequences," Sheikh Sabah said.
"Any escalation will bring with it an outright call for regional and international intervention, which will destroy the security of the Gulf and its people."
Established in 1981, the alliance fosters economic, security, cultural and social cooperation between the six nations.
Sheikh Sabah stressed that Kuwait's mediation efforts should be seen through the lens of the family of Gulf nations: "We are not a third party in this crisis. Rather, we are a party of one with the other two brother-nations in this crisis."
The GCC is the only beacon of light and hope amid the darkness now gripping the region, the emir added.
He warned that the collapse of the GCC would mean the collapse of the last bastion of joint Arab cooperation, noting that his country's goal was to resolve the crisis and prevent the GCC from collapse.
"History and the future generations of Arabs will not forget those who contributed to the escalation of the conflict and caused the destruction of the Gulf," Sheikh Sabah cautioned.
The countries that imposed the blockade on Qatar claim that it works to support "terrorism", maintains cordial relations with Iran and meddles in the internal affairs of their countries.
But Qatar insists there is "no legitimate justification" for the actions taken by the four nations, calling their decision a "violation of its sovereignty".