Grecians undecided over duo
Hibernian boss Pat Fenlon claims he has not given up on keeping Wolves striker Leigh Griffiths next season.
Griffiths was recently named as the Scottish Football Writers' player of the year after scoring 28 goals for Hibs during his loan spell but is set to return to Molineux in the summer.
Fenlon is desperate to keep the 22-year-old Scotland international but admits he is also looking at other options for next season.
"I have spoken about Leigh's situation so many times," said Fenlon, quoted in the Daily Record. "We are looking to strengthen the squad over the summer in a number of positions.
"With Eoin Doyle going and, possibly Leigh too, we've been looking in that area for quite a while now and I'll continue to do that.
"We will only know how difficult it is to replace Leigh if we need to replace him. Maybe we can then answer that question at the end of next season.
"We're actively looking for players to add to our forward line, where we have two excellent young strikers under contract in Ross Caldwell and Danny Handling.
"But no matter what happens I know we need to bring strikers in."
The Grecians announced the quintet of midfielder Tommy Doherty, defenders Steve Tully and Myles Anderson and strikers John O'Flynn and Tom Nichols have been handed fresh terms to stay on at St James Park.
However, 35-year-old midfielder Oakley and 37-year-old striker Cureton, who made over 70 appearances between them last term, could walk away from Exeter despite ongoing talks with the club.
Chief executive Julian Tagg told the club's official website: "We continue to live within our means and will be acting in the interests of the long-term health of our club as a whole this summer, which places extra emphasis on value.
"But we retain optimism in our outlook as we continue to work hard to tie up contracts."
Last month boss Paul Tisdale confirmed goalkeeper Rhys Evans, defender Kevin Amankwaah, midfielder Mark Molesley and striker Guillem Bauza would not be retained and winger Elliott Frear has now been informed he will not be offered a new deal either.