Jones joined on loan from Exeter on transfer deadline day but has been added as competition for - and not as a replacement for - Joe Lewis.
Captain Grant McCann is back from a ban and should return to midfield as Posh look to bounce back from the defeat at Colchester on Friday night.
Defender Gabriel Zakuani is still three weeks away from a return after dislocating his shoulder but Lee Frecklington is back.
The midfielder returned as a last-minute substitute on Friday night after months out with an ankle injury and he is in contention to feature.
Source: PA
Source: PA