"But I'm hopeful that we work out a deal with Emirates", Leahy said.
However, Leahy, who will retire this month, said the company could have an order for the double decker plane "within the next month or two" with an unnamed new customer.
Airbus chief operating officer Fabrice Bregier said overall deliveries could rise to 800 this year, thanks to the increased pace of production of its medium-haul A320neo aircraft.
The A380, with a theoretical maximum capacity of 853 passengers, is the world's largest passenger jet.
Both Emirates and Airbus are keen to reach a deal to protect their investment.
Emirates now relies exclusively on the Airbus 380 and the Boeing 777 for its flights, making it the largest operator of both.More news: Chicago man accused of terroristic threats on Greyhound bus
The airline has been pressing Airbus to commit to the future of the double-decker aircraft by guaranteeing a 10-year production line before it will place another order.
The company pulled off its biggest-ever order at the Dubai Air Show in November.
Airbus shares were trading lower, Monday, despite the news that the plane maker had delivered the most planes on record and also pulled in more new orders than its rival Boeing.
Airbus confirmed it had met its core 2017 target of more than 700 deliveries by releasing 718 jets to customers in 2017, up 4 percent from the previous year despite industrial delays.
Bregier said Airbus will speed up production in the coming year, notably of its long-delayed widebody A350, and hopes to out-deliver Boeing by 2020.
Airbus is facing multiple corruption investigations, notably in Britain, France and Austria.
When Airbus started delivering the A380 a decade ago, the company, based in Toulouse, France, saw the plane as the solution to airport congestion and to increased demand for air travel. "There will be challenges as always at Airbus, but these challenges are manageable".