Sen. Marco Rubio of Florida said Wednesday that he is open to the idea of holding an Article V constitutional convention, but warned the move could open up the Constitution to a variety of competing interests and lead to some unwanted changes.

Mr. Rubio, a 2016 GOP presidential candidate, said while campaigning in New Hampshire that the nation should have a convention with the power to rewrite parts of the founding document if that is what citizens want.

“Just make sure that we know how it is going to turn out because if you open up the Constitution, you are also opening it up to people that want to reexamine the First Amendment, people who that want to reexamine the Second Amendment, people that want to reexamine some other fundamental protects that are built into the constitution,” the 44-year-old said.