19-year-old Hinchliffe only signed for the Rams last summer and despite signing a two-year deal manager Paul Jewell cancelled his contract following the Rams relegation to the Championship.
The former Preston North End keeper did make an appearance for the Rams is also being tracked by Darlington and League One newcomers Stockport County.
The possible signing of Hincliffe would be one part of the goalkeeping jigsaw as the Railwaymen are being strongly linked with Yeovil keeper Steve Mildenhall who has rejected a contract a Huish Park.
The Railwaymen see a new keeper a priority after Ben Williams rejected a three-year deal and Wales U-21 keeper Owain Fon Williams is still stalling on a new deal offered to him by the club.