Stockley has been a huge success on loan at Exeter, who remain keen on taking the striker on a permanent deal.
The 22-year-old has been on loan at St James' Park since January and has netted 10 goals in 22 appearances, with the Grecians desperate to secure his services on a permanent deal for next season.
He was on target again during Exeter's 4-1 defeat to Luton Town on the last day of the season, a result that saw City drop into the bottom half of the League Two table.
Stockley, who made his Cherries debut at the age of 15 in 2009, last played for the Cherries when they were in League One in March 2012.
Loan spells with Woking, Leyton Orient, Portsmouth, Torquay United, Luton Town, Cambridge United and Accrington have followed, but Tisdale says Exeter are now determined to seal a premanent deal.
The City boss says the club have offered the best contract they can afford for the forward, adding that he is hopeful a deal can be completed.
He told BBC Radio Devon: "I would hope he wants to stay, we've made him a couple of offers now and the second offer is as good as we can make.
"I'd like to have had that decision back by now.
"We know him pretty well now as a player and I'd like to think we could make a difference to him, but it's his choice now what happens next."