Manchester City striker Sergio Aguero has underlined his commitment to the club by signing a one-year contract extension.
Liverpool defender Martin Skrtel would seriously consider his future at Anfield if he received an offer from elsewhere.
Naylor, 21, joined the npower League Two club in November and made seven appearances in all competitions for the Capital One Cup finalists.
With Rams boss Nigel Clough facing injury problems in central defence ahead of the Championship trip to Hull, Naylor could be drafted into the squad for the match at the KC Stadium.
Naylor's only appearance for Derby this season came as a substitute in the Capital One Cup defeat to Scunthorpe in August.
He joined the Rams in November 2011 from Mansfield, initially on loan, before sealing a permanent move during the January transfer window and he went on to make nine first-team appearances last season.