Nominet said it would prefer a system which did not over-regulate the net.
The issue of who controls the backbone of the net, such as domains and traffic routing, will be debated at a United Nations summit in Tunisia next month.
The European Union (EU) wants control shifted away from the US to a more representative global body or forum.
But the US wants to continue its historical supervisory role over the net and rejected the EU’s proposals last month.
