Chris Philp insisted the threat of deportation will act as a "deterrent".
Charlie Stayt mocked Chris Heaton-Harris's claim that the government keeps its promises.
The home secretary said the policy is deterring migrants from getting on small boats even though it hasn't begun yet.
"I understandably entirely the point you're making," presenter Charlie Stayt told him.
Brian Cox And Brian Cox Share Hilarious Hotel Mix-Up Story As They Come Face To Face On BBC Breakfast
“Last night was very confusing when he arrived to the hotel."
The presenter was forced to leave Friday's edition of the BBC programme mid-show.
"Well I've been a member of parliament for the last seven years," Chris Philp replied
The Someone You Loved singer hilariously misheard a comment Naga made at the end of his interview.
As infections soar, the presenter asked: “So your policy is working in... what respect?”