Southgate confident keeping Middlesbrough wing pair
He said: "We certainly don't have to sell and, as with all these things, there are some players of whom internally you would say you would be loath to sell at any price.
"Certainly, Stewart and Adam would be pretty close to falling into that category.
"It would be folly to say a player is not for sale at any price because, at any club in the world, any player has a price at a certain time.
"But we are certainly not looking to move either of those two on, that's for sure."