Pulis also remains keen on Spurs midfielder Tom Huddlestone.
He said: "I'd love to take Dawson off Spurs but whether we could afford him or not I'm not sure. We will see what happens.
"Huddlestone and Dawson and people like that would improve us and make us a better team, but whether you're Arsenal or Stoke City, you have a level to what you can spend and who you can bring in and we have to work to that level.
"If we have to bite the bullet a little bit we have to bite the bullet, but hopefully it will make this club better in future years."