Port Vale say they have refused permission for Gillingham to speak to Micky Adams about their managerial job.
The Gills have been without a manager since Andy Hessenthaler stepped down earlier this month.
BBC Radio Stoke reported that the Kent club had made an official approach for Vale boss Adams.
Vale announced on Twitter that this was rejected, but Gills chairman Paul Scally labelled the claims as "complete rubbish" to BBC Radio Kent.
Scally refused to comment further on matters regarding managerial issues concerning his club.
A move to the Priestfield Stadium would see Adams return to the club where he began his playing career, making 92 appearances in four seasons.
But the Staffordshire side appear keen to keep Adams, who guided them to 12th in League Two last season, despite the handicap of a 10-point penalty after the club entered administration in March.