Chelsea are hoping to keep the teenage winger after a series of impressive displays encouraged Bayern Munich to make a move for him.
Hudson-Odoi handed in a transfer request over the weekend and feels he needs to move to help his development.
He has 18 months left on his contract and is refusing to sign a new deal but Chelsea remain desperate to keep him.
They have rejected his transfer request and are planning on playing him more regularly in the hope he will decide to stay.
But Nevin has suggested any actual promise to Hudon-Odoi may infringe on his contract and could cause complications in the dressing room.
Writing in his column for Chelsea.com, Nevin said: “I have heard it being said that Callum should be promised a certain amount of game starts as a temptation to stay at Chelsea and, to be honest, I think that might be one of the daftest ideas I have ever heard.
“First of all, I don’t think it would even be legal in a contract as it would be a restriction of trade for the other players.
‘Secondly, what if he had a terrible time, lost form after an injury or the simplest and most likely scenario, that Willian, Hazard, Pedro, Loftus Cheek, Pulisic or whoever, including the next youngster coming through, was simply playing better and deserved their chance?
“This is not a negative towards Callum, I wouldn’t have given Frank Lampard, Gianfranco Zola, John Terry or Didier Drogba that sort of promise. It could destroy team morale in a millisecond.