It is true that Roma's current performance looks slightly better than before, since De Rossi replaced Jose Mourinho as Roma coach. However, De Rossi still needs a very long time to really improve Roma's strategy so that the performance and consistency of his squad will be better in the future. Because in my opinion De Rossi still has to evaluate his forwards and defenders so that his squad can attack well and defend well, because that way I am sure Roma will be able to win in the next match.
In my opinion, in Roma's match against Inter which will start next week, maybe Roma will have a very difficult time playing against Inter, because Inter's performance this season looks very good and Inter is also very consistent in their matches. De Rossi in this match must be able to provide a very good strategy for his squad, so that it can have a positive impact on supporters and also Roma management. Because, it is an honor for De Rossi to be trusted and stay at Roma as coach next season.
The situation of Roma before De Rossi's arrival put them in a situation where they have to fix a bit of loops and come on top. In the past weeks, Mourinho has had the responsibility to ensure good league game results and I won't blame him much for the times of loss because their opponents, their opponents in some situations have been too title contenders and personally wouldn't embrace a loss based on the goal they have for themselves. De Rossi just came and should be given time to show himself.
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.