Osborne, 25, moved to Ashton Gate at the end of October for a month but will now remain a Robin until January 5, 2014.
The defender has made four full appearances for City since being left on the bench in his first match.
The Robins sit in League One's relegation zone and next travel to high-flying Preston.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Leicester CityLeicester | 46 | 31 | 4 | 11 | 89 | 41 | 48 | 97 |
| P | Ipswich TownIpswich | 46 | 28 | 12 | 6 | 92 | 57 | 35 | 96 |
| 3 | Leeds UnitedLeeds | 46 | 27 | 9 | 10 | 81 | 43 | 38 | 90 |
| 4 | Southampton | 46 | 26 | 9 | 11 | 87 | 63 | 24 | 87 |
| 5 | West Bromwich AlbionWest Brom | 46 | 21 | 12 | 13 | 70 | 47 | 23 | 75 |
| 6 | Norwich CityNorwich | 46 | 21 | 10 | 15 | 79 | 64 | 15 | 73 |
| 7 | Hull City | 46 | 19 | 13 | 14 | 68 | 60 | 8 | 70 |
| 8 | Middlesbrough | 46 | 20 | 9 | 17 | 71 | 62 | 9 | 69 |
| 9 | Coventry CityCoventry | 46 | 17 | 13 | 16 | 70 | 59 | 11 | 64 |
| 10 | Preston North EndPreston | 46 | 18 | 9 | 19 | 56 | 67 | -11 | 63 |
| 11 | Bristol City | 46 | 17 | 11 | 18 | 53 | 51 | 2 | 62 |
| 12 | Cardiff CityCardiff | 46 | 19 | 5 | 22 | 53 | 70 | -17 | 62 |
| 13 | Millwall | 46 | 16 | 11 | 19 | 45 | 55 | -10 | 59 |
| 14 | Swansea CitySwansea | 46 | 15 | 12 | 19 | 59 | 65 | -6 | 57 |
| 15 | Watford | 46 | 13 | 17 | 16 | 61 | 61 | 0 | 56 |
| 16 | Sunderland | 46 | 16 | 8 | 22 | 52 | 54 | -2 | 56 |
| 17 | Stoke CityStoke | 46 | 15 | 11 | 20 | 49 | 60 | -11 | 56 |
| 18 | Queens Park RangersQPR | 46 | 15 | 11 | 20 | 47 | 58 | -11 | 56 |
| 19 | Blackburn RoversBlackburn | 46 | 14 | 11 | 21 | 60 | 74 | -14 | 53 |
| 20 | Sheffield WednesdaySheff Weds | 46 | 15 | 8 | 23 | 44 | 68 | -24 | 53 |
| 21 | Plymouth ArgylePlymouth | 46 | 13 | 12 | 21 | 59 | 70 | -11 | 51 |
| R | Birmingham CityBirmingham | 46 | 13 | 11 | 22 | 50 | 65 | -15 | 50 |
| R | Huddersfield TownHuddersfield | 46 | 9 | 18 | 19 | 48 | 77 | -29 | 45 |
| R | Rotherham UnitedRotherham | 46 | 5 | 12 | 29 | 37 | 89 | -52 | 27 |
| > Championship Full Table | |||||||||
