Jet Airways and Etihad Airways officials were not immediately reachable for comment on the market speculation.
A spokesman for the Finance Ministry, which oversees FIPB, declined to comment.
(Also read: Etihad agrees to cut number of directors on Jet board, says report)
The FIPB, which clears foreign direct investment (FDI) proposals, is scheduled to consider the Jet-Etihad deal at its meeting on Monday and traders said it may be approved.
The FIPB last month deferred a decision on Jet's plan to sell a 24 per cent stake to Etihad.
Copyright: Thomson Reuters 2013