Jet are certainly an AA partner for redemption and I have spent some time on the phone with AA trying to find seats. I can often find one seat but never two, so I was more interested in any patterns for when seats tended to get released.
I'm looking to travel at the end of January, ideally to DEL but I'd get down to BOM if there were seats available too. For the Winter season it looks like there are two flights to BOM and one to DEL from LHR with the 77W with First Class.