ACC official Jagmohan Dalmiya said they were hoping to offer the tournament, due to run from July 16 to August 1, as a "one-off" to sponsors.
The last Asian Cup was held four years ago, although he said the intention was to stage it every two years and accordingly to have longer-term sponsorship deals for future tournaments.
"It is possible and we are looking at how we can get time slots to have the tournament every two years," Dalmiya said in Colombo on Wednesday after talks with Sri Lanka's Prime Minister Mahinda Rajapakse.
Bangladesh, Hong Kong, India, Pakistan, Sri Lanka and the United Arab Emirates will take part in the tournament, which involves 13 matches including nine day-and-night games.
Dalmiya declined to discuss the costs of hosting the tournament or the prize money that would be offered, but said they hoped to "raise enough" for the development of the game in Asia.