The home secretary is seeking powers to strip terror suspects of UK citizenship even if it leaves them stateless.
The amendment to the Immigration Bill could see naturalised citizens whose conduct is deemed “seriously prejudicial” lose their nationality.
People with dual nationality can already lose their British passports.
It comes as the government faces backbench rebellions over the rights of foreign criminals and Romanian and Bulgarian migrants.
BBC political correspondent Iain Watson says critics of coalition policy on the Conservative back benches are concerned that the Immigration Bill does not go far enough and believe there has been a concerted attempt to deprive the Commons of enough time to discuss their amendments.