You never can tell if Gasperini will do greats things in Roma just like he did in Atalanta. Don't forget that Gasperini has been with Atalanta for long before he was able to build a strong team. Roma might look better than Atalanta but I don't think that Gasperini will be able to win Scudetto next season because there are still other strong clubs interested in it.
Gasperini is a coach who already has a lot of experience in training the team in Serie A and also does not rule out the possibility to make Roma stronger in next season even though I am also not sure he can immediately bring Roma to win in Serie A next season. But if Gasperini succeeds in bringing Rome in the top four of the standings in the next season, it is also something that is very extraordinary for Gasperini.
I agree with you that Gasperini can bring out the best in Roma and I don't doubt his coaching experience. Gasperini needs to spend more time in the club with the players so that they can understand his football pattern properly before winning Scudetto is possible. As for finishing on top four next season, Gasperini needs to work hard on the team to achieve it.