The 24-year-old was recently placed on the transfer list at Broadhall Way, with the club having claimed that he had failed to settle under manager Graham Westley.
That has alerted Scottish Premiership side St Johnstone, who have had an offer for the former Arsenal trainee accepted, according to Sky Sports News.
Dunne was voted Stevenage's Player of the Season last term.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Wrexham | 7 | 5 | 1 | 1 | 14 | 6 | 8 | 16 |
| 2 | Birmingham CityBirmingham | 6 | 5 | 1 | 0 | 13 | 6 | 7 | 16 |
| 3 | Barnsley | 7 | 4 | 1 | 2 | 12 | 10 | 2 | 13 |
| 4 | Charlton AthleticCharlton | 7 | 4 | 1 | 2 | 7 | 5 | 2 | 13 |
| 5 | Huddersfield TownHuddersfield | 6 | 4 | 0 | 2 | 11 | 6 | 5 | 12 |
| 6 | Stockport CountyStockport | 6 | 3 | 2 | 1 | 10 | 6 | 4 | 11 |
| 7 | Lincoln CityLincoln | 6 | 3 | 2 | 1 | 10 | 6 | 4 | 11 |
| 8 | Mansfield TownMansfield | 6 | 3 | 2 | 1 | 11 | 11 | 0 | 11 |
| 9 | Wycombe WanderersWycombe | 6 | 3 | 1 | 2 | 12 | 10 | 2 | 10 |
| 10 | Peterborough UnitedPeterborough | 6 | 3 | 1 | 2 | 10 | 9 | 1 | 10 |
| 11 | Exeter CityExeter | 6 | 3 | 0 | 3 | 8 | 6 | 2 | 9 |
| 12 | Northampton TownNorthampton | 6 | 2 | 2 | 2 | 8 | 7 | 1 | 8 |
| 13 | Blackpool | 6 | 2 | 2 | 2 | 11 | 13 | -2 | 8 |
| 14 | Wigan AthleticWigan | 6 | 2 | 1 | 3 | 6 | 5 | 1 | 7 |
| 15 | Stevenage | 6 | 2 | 1 | 3 | 5 | 5 | 0 | 7 |
| 16 | Reading | 6 | 2 | 1 | 3 | 7 | 10 | -3 | 7 |
| 17 | Crawley TownCrawley | 6 | 2 | 1 | 3 | 5 | 8 | -3 | 7 |
| 18 | Bolton WanderersBolton | 6 | 2 | 1 | 3 | 7 | 11 | -4 | 7 |
| 19 | Bristol Rovers | 7 | 2 | 1 | 4 | 6 | 11 | -5 | 7 |
| 20 | Leyton Orient | 6 | 2 | 0 | 4 | 7 | 9 | -2 | 6 |
| 21 | Rotherham UnitedRotherham | 7 | 1 | 3 | 3 | 5 | 9 | -4 | 6 |
| 22 | Burton Albion | 6 | 0 | 4 | 2 | 8 | 10 | -2 | 4 |
| 23 | Shrewsbury TownShrewsbury | 7 | 1 | 0 | 6 | 5 | 12 | -7 | 3 |
| 24 | Cambridge UnitedCambridge | 6 | 0 | 1 | 5 | 6 | 13 | -7 | 1 |
| > League One Full Table | |||||||||
