The 33-year-old has been training with the Rams since leaving former club Accrington Stanley in January.
Speaking of the signing, Derby manager Steve McClaren said: "Lee is an experienced player and we are pleased to have him."
Naylor has made over 500 appearances in his career for sides including Wolverhampton Wanderers, Celtic and Cardiff City.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Leeds UnitedLeeds | 17 | 10 | 5 | 2 | 31 | 12 | 19 | 35 |
| 2 | Sheffield UnitedSheff Utd | 17 | 11 | 4 | 2 | 24 | 9 | 15 | 35 |
| 3 | Burnley | 17 | 9 | 6 | 2 | 21 | 6 | 15 | 33 |
| 4 | Sunderland | 17 | 9 | 6 | 2 | 26 | 12 | 14 | 33 |
| 5 | Watford | 17 | 9 | 2 | 6 | 26 | 24 | 2 | 29 |
| 6 | Middlesbrough | 17 | 8 | 3 | 6 | 29 | 20 | 9 | 27 |
| 7 | West Bromwich AlbionWest Brom | 17 | 6 | 9 | 2 | 18 | 11 | 7 | 27 |
| 8 | Blackburn RoversBlackburn | 16 | 7 | 4 | 5 | 20 | 17 | 3 | 25 |
| 9 | Millwall | 16 | 6 | 6 | 4 | 19 | 14 | 5 | 24 |
| 10 | Norwich CityNorwich | 17 | 5 | 7 | 5 | 31 | 25 | 6 | 22 |
| 11 | Swansea CitySwansea | 17 | 6 | 4 | 7 | 16 | 15 | 1 | 22 |
| 12 | Bristol City | 17 | 5 | 7 | 5 | 20 | 21 | -1 | 22 |
| 13 | Sheffield WednesdaySheff Weds | 17 | 6 | 4 | 7 | 20 | 26 | -6 | 22 |
| 14 | Stoke CityStoke | 17 | 5 | 6 | 6 | 19 | 20 | -1 | 21 |
| 15 | Derby CountyDerby | 17 | 5 | 5 | 7 | 21 | 22 | -1 | 20 |
| 16 | Luton TownLuton | 17 | 5 | 3 | 9 | 18 | 29 | -11 | 18 |
| 17 | Coventry CityCoventry | 17 | 4 | 5 | 8 | 22 | 25 | -3 | 17 |
| 18 | Oxford UnitedOxford Utd | 17 | 4 | 5 | 8 | 19 | 27 | -8 | 17 |
| 19 | Preston North EndPreston | 17 | 3 | 8 | 6 | 16 | 24 | -8 | 17 |
| 20 | Plymouth ArgylePlymouth | 17 | 4 | 5 | 8 | 18 | 34 | -16 | 17 |
| 21 | Cardiff CityCardiff | 17 | 4 | 4 | 9 | 15 | 26 | -11 | 16 |
| 22 | Hull City | 17 | 3 | 6 | 8 | 16 | 23 | -7 | 15 |
| 23 | Queens Park RangersQPR | 17 | 2 | 8 | 7 | 15 | 26 | -11 | 14 |
| 24 | Portsmouth | 15 | 2 | 6 | 7 | 16 | 28 | -12 | 12 |
| > Championship Full Table | |||||||||
