Cardiff are said to have denied the rumour.
Then on the weekend the News of the World claimied City were looking towards a £1.4m bid for Maynard.
Crewe manager Dario Gradi didn't think Mayneard would be going anywhere.
I'm not getting involved in any speculation.' he said.
'I would think we might get enquiries for Varney but I'm not expecting Maynard to be going anywhere.'
As we are ending the normal season and entering the silly season we can expect many more rumours like these.