David Cameron says he fears people will want him to stay permanently on a remote island off the coast of Co Antrim if he accepts an invitation to visit.
DUP MP Ian Paisley suggested Mr Cameron should become the first British Prime Minister to take a trip to Rathlin Island.
The PM noted he will keep the offer in mind when he next visits the province.
Speaking during Prime Minister’s Questions in London, North Antrim MP Mr Paisley told Mr Cameron: “Rathlin Island is the only inhabited coastal village/town in my constituency.
“No British Prime Minister has ever had the honour to visit that part of Ulster.
“I wonder when the Prime Minister plans to visit this remote location, which has considerable economic needs and could generate more employment and tourism.”
In his reply, Mr Cameron joked: “I’m the first British Prime Minister to visit many parts of our country, the first to go to Shetland for about 30 years. But I fear if I went to this island there might be a number of people who’d like me to stay there, but I’ll certainly bear it in mind the next time I visit the province.”