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There have been “no credible bids” for any of Gillingham’s players so far in the January window.
Kyle Dempsey is understood to be a target for League 1 rivals Bolton, leading scorer Vadaine Oliver is being monitored by National League side Wrexham and there are rumours north of the border that Aberdeen want Jack Tucker.
Gillingham are in a relegation battle and may prefer to hang onto their best players rather than cash in, even if they stand to lose them for nothing in the summer.
“There is always interest in our players,” said Gills chairman Paul Scally when asked about the speculation on Tuesday (yesterday) but added that there had been “no credible bids” at the time of speaking.
Gillingham would welcome additional funds, particularly if they need money to pay Bromley a compensation fee for their manager Andy Woodman, but Mr Scally has turned down good offers for players in recent seasons.
Dempsey has previously attracted offers from Charlton Athletic but the London side didn’t get anywhere near Gillingham’s valuation. Oliver and Tucker have also been subject to previous offers.
Wrexham boss Phil Parkinson has admitted he is keeping tabs on Gillingham’s leading scorer Oliver. Speaking before their FA Trophy tie against Folkestone, he said: “He's a player we've looked at but there's no bid gone in for him as yet.”
Centre-half Tucker has previously been linked with Celtic before the latest link to the Scottish top-flight.
Gillingham look set to be in for a busy end to the January transfer window. A new manager is sure to want to make changes before the end of the month.
Mr Scally said: “I am sure we will see a couple in and a couple out, that is bound to happen.”
It's looking like Woodman will be Gillingham's next manager but if caretaker boss Steve Lovell gets any longer he's keen on making changes.
Lovell has already brought Charlie Kelman back on loan from QPR.
He said: "I would like to bring a few more in, I think we need bodies around us. If two or three get injured then the squad is quite low.
"If everyone shows me what they can do, or what they think they can do, then there is no need to bring anyone in but a few of them have to show me. I have 20 players, if 15 are going to show me and five aren’t then it is no point having the five.
"I have to work out, or whoever is here needs to work out, how many go and if they don’t perform it is no good being around here. I would rather that and get my own players in as quick as I can to try and change that."