After watching Inter this season I think the other teams will really need to make a huge progress this summer.

Because the gap is just enormous now. Maybe you will say Napoli were also like this in the prior season and failed later on. However Spalletti left the team which caused big problems to start for Napoli right after.
There isn't such thing for Inter. They are moving on with Simone Inzaghi. I believe they have the best squad in the league at the same time. In this situation it wouldn't be seeing them winning a back-to-back title unless we see some reaction from another team.