IIRC the first preseason tour game is the 17th of July in China, which probably means the plane is leaving Manchester between the 10th and 14th, and players (excluding South Americans) due back a week earlier.
Pep will want all incoming business done by then if possible, anything that goes longer will be an inconvenience and a shortened preseason for the new players which is not good for them adapting or for their fitness.
So we will know how well the summer is going by then. If in 3 weeks time the players we need are still deciding their futures etc. then we'll know the transfers are dragging and people can panic.
Until then, it's all pretty meaningless. Rodri's season only finished on Monday. Relax and enjoy the Cricket/Tennis/Golf/Women's World Cup.