STEVE McClaren wants to see skipper Richard Keogh follow striker Chris Martin and sign a new deal at Derby County.
Martin has agreed a new four contract to run until the summer of 2018.
There is also a "very good" offer on the table for Keogh, who is in the final year of his current deal.
Newly-promoted Burnley have had a reported £1.5m bid for the Republic of Ireland international defender rejected.
The transfer window closing at 11pm tonight. Asked if he expected Burnley to return with a renewed bid, McClaren said: "I don't know, its football."
But McClaren quickly added: "We don't want to lose our best players, and he [Keogh] is one of our best players. He is our captain, our leader.
"He was one of our top performers against Ipswich on Saturday and so if we have any ambitions, we need to keep our best players.
"There has been two or three enquiries for our players and we have give the same answer each time – we don't want to sell."
Martin top scored last season with 25 goals and has four in six starts this season.
McClaren believes Martin agreeing a new long-term deal is a fantastic statement by the club.
"We sat down with Chrissy and his agent on Friday and agreed a new four-year contract, and that is a big plus," said McClaren.
"Chief executive Sam Rush, Chris Evans (head of football operations) and the board have done a good job over the summer in making sure we tie up our best players on long-term contracts."
Martin had a year to run plus a further 12-month option on his previous deal.