De Rossi is only contracted until the end of this season at AS Roma and that way, this moment will be a proof for De Rossi whether he can provide good results for AS Roma or even fail. Because yes, if De Rossi fails then of course AS Roma will recruit another coach for next season and thus, there is not much time for De Rossi to provide good evidence because the time is very short if only until the end of this season. So yes, although in the first three matches in fact De Rossi managed to provide victory for AS Roma but still, playing against Inter who are in their best trend this season will still be difficult for De Rossi to return to good results as in the previous first three match.
They're playing the league games and as well as the European games, their attention is on 2 trophies, European trophy will be difficult for them and I don't think that currently De Rossi would be able to scale through all the clubs that will be presented to him to face in each advancement phase of the tournament. Even in the Serie A, it'll be difficult for them to gain the top stand so it's just best that they focus their strength and struggle to maintaining a good result that'll see them scale through to the European cups next season. De Rossi can still make a great team from Roma and their next game encounter is awaited.