According to the earlier media reports, the black box was found 0.5 miles east of the area, where the plane's broken tail was lifted from the seabed on Saturday.
"Divers went down into the water at noon [5:00 GMT], but there are no results yet. Devices receive the signal [from black boxes], but the divers cannot see them," Detik.com. web portal quoted Suryadi Bambang Supriyadi as saying.
The Indonesian news outlet also cited geodetic expert Imam Mudita, who said that the search vessels had picked up two separate signals coming from two points roughly 65.6 feet away from each other.
Currently, Indonesian search and rescue teams with the support of international partners continue to investigate into the cause of the airliner's crash.
AirAsia flight QZ8501 with 162 people on board crashed in the Java Sea on December 28 flying from Indonesian city of Surabaya to Singapore. A total of 48 bodied have been found with 29 crash victims already identified.
Preliminary reports suggest bad weather conditions to be the reason behind the crash.