Midfielder Darren Pratley, goalkeeper Dorus de Vries and defender Angel Rangel are just three players who see their current deals expire at the end of the season.
And although the decision raises the prospect of those names leaving for free ine June, chairman Huw Jenkins insists everything possible must be channelled towards second-placed City clinching an historic promotion over the remaining 19 Championship matches.
"The last thing we need is anything getting on people's minds and distracting them from the job in hand between now and the end of the season," Jenkins told the South Wales Evening Post.
"There are a couple things to remember here. First of all, contract talks are never as straightforward as people make out. You have to try to find the middle ground and that's not easy.
"And secondly, with the club in the position we're in, we don't want anything at all affecting our focus and concentration. I am not just talking about the players, I mean everyone involved at the club. Contract talks can impact on a lot of people and we don't want that to happen when all our thoughts should be on the next game and on moving forward in the next few months."