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The Republic of Ireland international was linked with a move to the Toffees during the summer and has been in excellent form for the Royals this season.
But Hammond told the Reading Evening Post: "It is that crazy time of year. There has been a flurry of phone calls, with agents coming out of the woodwork.
"But there is certainly nothing happening imminently.
"I spoke with Steve Coppell on Wednesday morning. We are looking to see if we can add to the squad, but if not Steve is more than happy with how things stand.
"Our view is we want to keep everyone together. That is our priority. Hunty's situation is well publicised. There have been no offers and we certainly don't want to lose him. I am hopeful we can keep everyone. That is the best-case scenario for this club."