I ordered mine when it gave that shipping estimate and I got an email this morning from Amazon saying they will have it to me by June 2nd (Prime 2 day shipping) so I wouldn't worry.
i made a order on June 2, and will be deliver June 26.
i changed Shipping Speed to 2-Day Shipping, don't know what is the day to deliver("We need a little more time to provide you with a good estimate").
i guess high shipping speed have prior deliver queue.