Barnet still hope to hang on to out-of-contract striker John O'Flynn, as talks continue over a new deal.
The former Peterborough United man has impressed since joining the Bees in 2008, scoring 34 goals in just 77 appearances.
However, his stunning strike rate has not gone unnoticed, with a number of clubs, such as League Two rivals Port Vale, thought to be keen on luring him away from Underhill.
But new Bees manager Mark Stimson told skysports.com that he still hopes to have him at his disposal next season.
He said: "We are still in talks with John O'Flynn to re-sign him, so he hasn't left us completely yet and I'm hoping to keep him on board.
"He has done extremely well since joining the club, so I'd love to have him here for next season."
The Bees were handed a trip to Championship outfit Swansea City in the Carling Cup first round draw and Stimson is relishing the chance to face the Swans.
He said: "I've got Swansea away in the first round, which is a good tie for us, but a difficult one because they are a very good Championship side.
"It is one which we will look forward to because it is a chance to test ourselves against a very good side in a fantastic stadium, with a great pitch and hopefully we can put in a decent performance."