Under a high court ruling last year all local authorities are legally required to provide accommodation en three meals a day for destitute asylum seekers.
A nutritionist has said the meals provided only 60 per cent of a man's need.
Nikki Page, chairwoman of the council's housing committee told the paper the council spent£50,000 a week looking after asylum seekers.
'The burden of looking after these asylum seekers falls on a handful of central London councils where they come to stay. It is unreasonable.'
A Westminster LBC spokesman told the paper that the council's preferred policy of providing asylum seekers with money to buy their own food had been declared illegal by the court.
'But providing hot meals to asylum seekers in Westminster is a logistically complicated task as these people are located in over 40 different hotels and bed and breakfasts situated in and outside the borough,' he said.