The 28-year-old scored 25 goals last season as Wanderers were relegated to League Two.
However, Westley is hoping that the centre-forward will accept his offer to remain in League One for the forthcoming campaign.
"We've made a bid, that's no secret," he told BBC Radio Lancashire. "We're hoping that Stuart will come here and be part of what we're doing.
"He's a big asset. Negotiations are ongoing, we're hopeful they'll come to a conclusion and it would be great to have him at this football club."
Beavon joined Wycombe from Weymouth in 2009.