The Government is to make a Commons emergency statement on the queues at immigration at Heathrow Airport.
Speaker John Bercow has granted an urgent question to the chairman of the Commons Home Affairs Committee, Keith Vaz.
Meanwhile London Mayor Boris Johnson has written to Home Secretary Theresa May to express his "serious concern" about the lengthy queues at the airport.
He said the difficulties at Heathrow gave "a terrible impression of the UK" and it was unfortunate that the country's main port of entry was "gaining such a poor reputation".
In a joint statement on Sunday night, the UK Border Force and airport operator BAA insisted the majority of passengers passed through immigration control quickly but acknowledged there were "sometimes delays at airports for a range of reasons".
"We will not compromise border security but we will work together to keep delays to a minimum," the statement said.