According to the Dawn, the BCB has offered the post to Aaqib recently during Pakistan Cricket Academy's Bangladesh tour.
''The BCB officials came up with the offer during an informal chat while we were in Dhaka. But I plainly told them to give me at least a couple of weeks to think about it,'' Aaqib told the Dawn, adding, ''I don't want to make any hasty decision due to my other commitments.''
However, the member of Pakistan's 1992 World Cup winning team said he needed time to ponder over the offer made by the BCB officials.
Aaqib, the chief coach of Pakistan's National Cricket Academy (NCA), who claimed 54 wickets in 22 Tests and 182 in 163 ODIs, is also seen as one of the front runners to replace late coach Bob Woolmer.
But the amiable Aaqib, under whose guidance Pakistan won two successive under-19 World Cup titles in 2004 and 2006, remained nonchalant about such a prospect.
''Why should I worry or lose my sleep over it?'' he asked.
''But if the offer comes my way, I'll certainly consider taking up the challenge as a great honour.''