As the season has finally finished the upcoming transfer window is going to be quite exciting from now on. I don't know top teams of the league would rush anything at the first times of it already. But some of them had better start looking for better players to put in specific positions to strengthen them. For example Liverpool and Manchester United come to my mind firstly.
Liverpool need a significant improvement for their midfield. They chased Bellingham transfer but he is about to sign for Real Madrid officially. I assume they will finalize Mac Allister transfer instead after this news. He is a really talented player to make Liverpool midfield more reliable.
As for Manchester United they also need some fortification in the central midfield as there aren't many options there. Sabitzer might be added to the team permanently maybe or they would look for another player. Most importantly they need a reliable striker and Kane is the strongest candidate for now.