The Conservative MP Mark Pritchard has said that new laws should be brought in requiring the families of people who travel abroad to take part in jihad to contact police.
"I think we need to look at every measure that would increase our national security", he told Good Morning Britain.
He added that it was "incumbent" on family members to report those who had gone abroad to fight in the interest of protecting their own local communities and the national interest.
More top news
Early cloud and rain will slowly clear away from southeast England and East Anglia.
A Cornish fish restaurant has been named the best in the UK - knocking Cumbria's L'Enclume into second place after five years at the top.
There "will not be a war again on the Korean Peninsula", South Korea's President Moon Jae-in has said.