Pym was effectively placed on the transfer list 10 months ago after falling out with former Posh boss Darren Ferguson. A change of manager to Grant McCann made no difference to Pym’s future and he has been given permission to talk to four League Two clubs.
Mansfield – currently 10-1 fourth favourites for the League Two title – are one of those and Field Mill is Pym’s preferred destination.
But the Stags have yet to come up with a deal agreeable to Posh.
Posh director of football Barry Fry said: “Mansfield want Christy and he has spoken to them along with three others clubs. He wants to go there, but Mansfield have yet to come up with an offer that suits us.
Some Peterborough United players delivered a big improvement in form to see off powerful opponents
Peterborough United: Live Blog as Posh win out against ten-man Sheffield Wednesday
Plymouth Argyle manager defends the actions of Bali Mumba after claims the player 'disrespected' Peterborough United
Peterborough United bounce back to form with a deserved win over the League One title favourites
Sheffield Wednesday boss expecting a really tough game against 'Championship standard' Peterborough United
"Their manager Nigel Clough is due back from holiday this week so things might move on then.”
Posh want a fee for 27 year-old Pym even though he is surplus to requirements. He was one of several League One promotion winners to sign extended contracts at the Weston Homes Stadium last summer.
Posh have signed two goalkeepers on loan for the season, Harvey Cartwright from Hull City and Lucas Bergstrom from Chelsea.
Goalkeeper Dai Cornell was released and has subsequently joined Championship side Preston North End.
Posh director of football Barry Fry has received no offers for transfer listed midfielders Ryan Broom and Idris Kanu. Broom was linked with League One rivals Shrewsbury Town, but Fry has spoken to Shrews boss Steve Cotterill who denied any interest.