The Potters have already signed free agent defenders Jonathan Woodgate and Matthew Upson this summer.
Stoke chairman Peter Coates recently confirmed the club’s interest in Tottenham duo Peter Crouch and Wilson Palacios.
“What the chairman says, he says, but as far as I’m concerned deals should be done between clubs,” Pulis told Sky Sports News.
“I think too much gets out. We should really get on with it between club and club.
“You talk about one club and two individuals, but we’ve been talking to other clubs as well about other players.
“That’s the way hopefully we’ll do our business. When it happens, it happens.
“You (the media) can speculate because you have to fill your time and space and I understand it.
“I think we’re looking for about five or six players if we can.
“We could do with desperately getting those players in as quickly as possible, but we have to do it within the structure of this football club.”
