JetBlue Airways has won approval from the Port Authority of New York and New Jersey to build an addition to its Terminal 5 at JFK Airport that will handle the airline’s growing international business.

The airline said the new international arrivals facility will be called T5i, and should be finished by 2015, with construction starting as soon as this summer.

It will give JetBlue’s JFK terminal an additional 145,000 square feet of space on three levels, and will include gates to handle not only JetBlue’s own international arrivals but also “wide-body aircraft operated by partner airlines,” the company said.

It will also provide new inspection facilities for federal customs and immigration checks, “eliminating the need for JetBlue international arrivals to be processed at JFK Terminal 4,” JetBlue said.

JetBlue in recent months has signed a growing number of interline partnership agreements with foreign airlines serving JFK, but those connections currently involve inter-terminal travel at the airport. JetBlue itself currently has international service from JFK to several destinations in the Caribbean and Latin America, including Barbados, the Dominican Republic, Costa Rica, Jamaica, Mexico, St. Lucia, St. Maarten and Turks & Caicos.

The airline said it carried more than 2 million passengers on international routes from JFK in 2011.