Young has been strongly linked with a move to Manchester United, while Downing is being linked with a move to Liverpool.
Bent said: “I’ve been in both of their ears trying to convince them (Young and Downing) to stay.
“They are two top, top players and, if we can hold onto them next season, it will be fantastic.
“I hope they stay. What is going on in their careers and lives is down to them.
“But for me, being a striker, you want the best service and they are probably the two best wingers in the league.
“If we can keep hold of them two I will be very, very happy.”