The minister also told the newspaper that jihadist groups in Libya, Iraq and Syria were believed to be plotting attacks on the United Kingdom, and that "our job in terms of eliminating will not stop this year, will not stop next year - it is something we have got to continue to pursue".
The Defence Secretary, Gavin Williamson, has said that Britons who go overseas to fight for Islamic State (IS) should be hunted down and killed.
"A dead terrorist can't cause any harm to Britain", Williamson said, adding that he believes terrorists should never be allowed to return home.
He said everything should be done "to destroy and eliminate that threat".
Mr Williamson's predecessor Sir Michael Fallon said in October that British IS fighters in Syria and Iraq had made themselves "a legitimate target" who could end up on "the wrong end of an RAF or USAF missile".
The Defence Secretary's remarks follow the reported drone-strike killing in Syria of a British IS member, Sally Jones, earlier this year and comments made by an worldwide development minister, Rory Stewart, that " fighters could expect to be killed given the threat they posed to British security".
He said "my view is a dead terrorist can't cause any harm to Britain".
However, under British and global law, an aspiration to eliminate all known British IS recruits will take a little more consideration than simply launching a drone laden with fire-and-forget missiles, the BBC says.
That strike was legal under the "inherent right of self-defence", it said, because 21-year-old had been directing "imminent armed attacks".