Manchester United are close to agreeing a £21.5m deal to sign Borussia Dortmund midfielder Ilkay Gundogan, according to Sky sources.
Louis van Gaal says Manchester United have offered David de Gea "a lot of money" in a bid to keep him at Old Trafford.
Midfielder Hughes, who joined Aberdeen last January, has agreed a new 18-month deal, while full-back Naysmith has extended his contract until the end of the season.
Both players have established themselves as key players in Craig Brown's plans and the Dons boss is delighted to secure the experienced duo.
"Both players are happy to be at the club and we are happy to have them," said Brown.
Hughes is likewise happy to have penned a new deal until the end of next season.
"It is good to get the contract done," admitted Hughes. "I have a bit of security now and I feel there are good times ahead here."