Reed does however admit that a special player would change their plans should he be available.
Ronald Koeman’s side have already seen Morgan Schneiderlin and Nathaniel Clyne leave St Mary’s this summer but have replaced them with Jordie Clasie and Cedric Soares.
They are expected to further bolster their squad ahead of a busy season that will see their number of fixtures increased dramatically as they compete in the Europa League.
Reed though, says that won’t be the case and they will do their best to avoid an overblown squad.
“I think there’s a balance to be struck between a sizeable squad and actually having the right cover for when you need it,” he told the Southern Daily Echo.
“The other thing is the last two seasons we’ve built a squad that’s really tight and what we don’t really want is to try and have to adapt with a lot of new players coming in again.”
A move for a 'special' player could happen
Koeman enjoyed a fine first season at the club last year after they lost the spine of their team during the summer transfer window.
The likes of Adam Lallana, Calum Chambers, Rickie Lambert and Dejan Lovren all departed the side for moves elsewhere but the Dutchman’s summer recruitment proved a hit, with all his signings enjoying a strong campaign.
And despite saying they are looking to avoid an excessive squad, Reed does admit that if the right player were to present himself, the club would move to secure him.
"Ronald and I are right on the same page with it,” he added.
“But it doesn’t mean that when we’ve hit our targets that if there was an opportunity that presented itself to do something a bit special – then we would try and do it.”