Barnet manager Ian Hendon has urged veteran Paul Furlong not to retire this summer and instead stay at Underhill next season.
The 40-year-old former Chelsea striker impressed while on loan with the Bees last season, scoring nine goals in 21 appearances.
He is set to become a free agent at the end of this month after parent club Southend United opted not to extend his contract.
Hendon told skysports.com that should Furlong decide to continue playing, then Barnet are keen to sign him.
"Paul is still under contract with Southend until the end of June and basically he is going to think about it over the summer before letting us know whether he is going to continue playing or not," he said.
"He's at the stage of his career where his family are hoping to see a bit more of him than they do whilst he is a professional footballer, but Paul feels he can still bring something to the table as a player.
"We obviously agree with the latter, but it is up to him whether he wants to pack it in or not.
"I'd like to think that Barnet will get first option on him if he does opt to continue."
The Bees recently announced their pre-season schedule - including eye-catching fixtures against Arsenal and Charlton - and Hendon is relishing the challenge ahead.
"We've got some great fixtures lined up for pre-season, with the likes of Arsenal, Charlton and Southend penned in alongside some sides from the Conference and below, so we are all geared up for it now," he added.
"Obviously everyone has one eye on August 8th and the big kick-off for next season, but it is important to get everything in place before then and I feel those sort of challenges in pre-season will help get us ready for it."