Robert Snodgrass has already been lured away following relegation from the Premier League, with the Scottish winger stepping back up into the top flight with Hull City.
Speculation has suggested that the likes of John Ruddy, Leroy Fer, Nathan Redmond and Gary Hooper could all be following him through the exits.
Norwich are reluctant to lose any more players as they attempt to bounce back at the first time of asking, but Adams acknowledges that sizeable bids for prized assets would be impossible to turn down.
He said: “There is only four weeks to the league season and I am sure there will be enquiries for lads who were playing in the Premier League last season.
“Unfortunately, there comes a point in the Championship where if the offer is too good to turn down, that is the situation we are now in - Robert Snodgrass being the example.
“Did I want to lose him? No. He had one year left on his contract and the money we received was good business.
“The reality is everyone has a price. If people are going to come in and the money is right then we have to look at it, but we have stressed we don’t want to lose players and anything else at the moment is speculation.
“Clubs are bound to come looking for our best players. That is the unfortunate side of relegation. We would probably have been doing the same thing if we had stayed up.”