The consortium also includes Meridiam and ASMA Capital Partners BSC, acting in its capacity as investment manager for IDB Infrastructure Funbd II and Edgo.
The deal will ensure that Groupe ADP, which previously held a 9.5% stake in AIG, is the majority shareholder.
Completion of the deal is subject to the approval of the Government of Jordan and Project Lenders consent.
Queen Alia International Airport welcomed 7.4 million passengers in 2016 and has a reputation for being one of the world's most customer friendly airports, regualrly winning or faring well in ACI's Airport Service Quality (ASQ) customer satisfaction survey in its 5-15mppa category for the Middle East.
Only last year it celebrated the completion of the second phase development of its new terminal.
The $214 million expansion project has added 43,513 square-metres to the terminal that has allowed the airport to double its number of gates and effectively raise its capacity to 12 million passengers per annum.
The new capacity, up from 9mppa, will be increased to 16 million in the next expansion phase, which will be triggered by demand.
The new-look terminal now boasts a total of 25 gates, including eight remote stands and 17 contact gates.