Clayton sees his current deal expire next summer but unless the Alex can persuade the 18-year-old to pen fresh terms then they may be forced to offload him before that to prevent the possibility of losing out financially at a compensation tribunal.
Clayton rejected on offer during last season but a hopeful Davis will look to this week reopen contract talks with the England Under-19 international, who has been linked with several Premier League and Championship suitors.
"I will speak with Max's agent this week and see how it goes. Max knows my opinion on the matter and that I think his future is here with us," Davis told Crewe's official website.
"We offered him a contract extension at Christmas time and he rejected that so we will have to see if that has changed. I think he would benefit from having another year playing for us at this level.
"He was just beginning to adjust to this league and what it entails. He was playing well towards the end of the season and recently scored for England.
"Players develop at different times and perhaps he sees Nick (Powell) going on (to Manchester United) and doing what he has done but you have to be patient. He needs another year or so with us. In my opinion he is not ready.
"If Max plays well in our team and scores goals then any move would take care of itself."
- Sports & Recreation