Cissokho has started every game for Lyon this season but they need cover in central defence and are seemingly willing to cash in.
The 24-year-old has also never hidden his desire to ply his trade in the Premier League.
"Possible winter departures? That doesn't mean we don't have any more means, but we want to keep the rules we set, which is to not increase deficit," Aulas told L'Equipe.
"The transfer of Aly Cissokho? I am rather in favour of it.
"We could hire a centre defender, young, not expansive and versatile, but none of our current centre defenders will be free agents next June, and maybe in February they will all be back.
"We could hire a defensive midfielder as Maxime Gonalons is deputising as centre defender. We could also not do anything."
