Giannis Antetokounmpo will overshadow the NBA offseason. The Nets will control it.

Even if the Nets don’t acquire Antetokounmpo — and most league personnel who spoke with The Post recently see it as unlikely — those same sources expect this summer to be historically active.

Draft night promises to be rife with deals, and all big trade routes lead through Brooklyn — with general manager Sean Marks collecting tolls.

Kevin Durant almost certainly will be traded, and the Suns have begun dialogue with teams. The Celtics will be looking to shed salary. And if any star gets moved, the Nets probably will have to help to make the cap math work.