In March, the United States banned laptops in cabins on flights originating at 10 airports in eight countries -- Egypt, Morocco, Jordan, the United Arab Emirates, Saudi Arabia, Kuwait, Qatar and Turkey -- to address fears that bombs could be concealed in them.
Royal Air Maroc is the only carrier to operate direct flights to the United States, flying from Casablanca's Mohammed V International Airport to New York and Washington DC.
It did not say why the restrictions had been lifted, but the US Department of Homeland Security had already dropped restrictions on six of the airlines after they adopted stricter screening for explosives and other enhanced measures.
The department said on Tuesday it would review requests by the remaining three Middle Eastern airlines -- from Morocco, Saudi Arabia and Egypt -- to have the ban lifted.
State-owned EgyptAir said it expected the restrictions to be removed on Wednesday. Saudi Arabian Airlines, also known as Saudia, said it expected the ban to be lifted on flights from Jeddah and Riyadh by July 19.
(Reporting by Samia Errazzouki; Writing by Aidan Lewis; Editing by Catherine Evans)