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Danny Kedwell is one of three Ebbsfleet players to have been offered reduced terms for next season.
The 35-year-old triggered a clause in his contract during 2018/19 which meant the club had to make an offer.
Kedwell's former Gillingham team-mates Jack Payne and Myles Weston are in the same boat.
Ebbsfleet boss Garry Hill said: "They’ve all been offered new reduced terms due to the new financial structure at the football club.
"They are completely different from the money they’ve been on in the past but it’s where the club has got to be going forward."
Kedwell has scored 65 goals in 206 appearances for Ebbsfleet since joining from Gills in January 2015.
Weston and Payne have spent the last two seasons with Fleet, playing 92 and 61 games respectively.
The majority of Ebbsfleet's squad look set to leave this summer with a host of players released and others available on a free transfer.
Hill said: "I’m sitting here in a position at the moment, knowing what playing squad I’ve got left at the end of May, knowing then what I have to build after May.
"I’ll have a lot clearer picture, the way I look at things in my mind, at the end of May, which I’ve always stated.
"I’ve never been false on that, I’ve never stated something different from that. I’ve always said I will have a clearer picture knowing everything at the end of May."