"The process of assessment of that suspicious article is underway," Mr Llewellyn said.
Part of Customs has been closed and it has slowed the processing of arriving passengers, Mr Llewellyn said.
A spokeswoman said the ambulance had been alerted but were "not responding at this stage".
Mr Llewellyn said so far the security scare had not affected any other flights.
"It has slowed the processing of arrivals but it hasn't closed [arrivals]. One of the lines has been cordoned off [and] the number of processing staff has been reduced," Mr Llewellyn said.
"We do ask people to be patient and I'm sure police and Customs will go through their processes as quickly as possible."