They need more room at the inn.

New York City’s use of hotels as emergency shelters to house migrants will continue for the foreseeable future, The Post has learned, as the Department of Homeless Services is seeking a contract with hotels to provide a total of 14,000 rooms to shelter migrants at least through next year.

The city projects that spending on housing for migrants over the past two years and this fiscal year combined will surpass a staggering $2.3 billion — much of it on rent paid to hotels in the Big Apple.

About 150 hotels are currently sheltering migrants and total spending on migrant services over three years will hit $5.76 billion.