It doesn't make sense spending a significant amount of money trying to shoe-horn him into a role that isn't his best. It would be Pogba all over again.
Bruno can also play deeper that doesn't change the type of player he is. Milinković-Savić has the worst pass completion rate out of Lazio's 3 main midfielders, he gets dispossessed more often as Luis Alberto and Cataldi combined and he almost has twice as many miscontrols as both of his midfield partners combined. All of that because it's his role to take more risks, since he's one of their creators. We already have Bruno, Eriksen and van de Beek. Even if you think that we need an upgrade on Bruno, which I think is a fair take, it would be an utter waste this summer.