The Yorkshire club are just three points off the top six after Saturday's 1-0 win at Millwall.
"I don't think we're good enough to get in the playoffs but we'll keep fighting," Warnock told Sky Sports News. "I think it's too soon for us but it won't be for the lack of trying."
United continue their promotion charge at home to Watford on Saturday.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Sheffield UnitedSheff Utd | 21 | 14 | 5 | 2 | 30 | 11 | 19 | 45 |
| 2 | Leeds UnitedLeeds | 21 | 12 | 6 | 3 | 37 | 15 | 22 | 42 |
| 3 | Burnley | 21 | 11 | 8 | 2 | 26 | 8 | 18 | 41 |
| 4 | Sunderland | 21 | 11 | 7 | 3 | 32 | 17 | 15 | 40 |
| 5 | Blackburn RoversBlackburn | 20 | 11 | 4 | 5 | 25 | 17 | 8 | 37 |
| 6 | Middlesbrough | 21 | 10 | 4 | 7 | 35 | 25 | 10 | 34 |
| 7 | Watford | 20 | 10 | 4 | 6 | 29 | 26 | 3 | 34 |
| 8 | West Bromwich AlbionWest Brom | 21 | 7 | 11 | 3 | 24 | 16 | 8 | 32 |
| 9 | Sheffield WednesdaySheff Weds | 21 | 8 | 5 | 8 | 26 | 30 | -4 | 29 |
| 10 | Swansea CitySwansea | 21 | 7 | 6 | 8 | 23 | 22 | 1 | 27 |
| 11 | Bristol City | 21 | 6 | 9 | 6 | 26 | 26 | 0 | 27 |
| 12 | Norwich CityNorwich | 21 | 6 | 8 | 7 | 36 | 32 | 4 | 26 |
| 13 | Millwall | 20 | 6 | 7 | 7 | 20 | 18 | 2 | 25 |
| 14 | Derby CountyDerby | 21 | 6 | 6 | 9 | 26 | 26 | 0 | 24 |
| 15 | Coventry CityCoventry | 21 | 6 | 6 | 9 | 27 | 30 | -3 | 24 |
| 16 | Preston North EndPreston | 21 | 4 | 11 | 6 | 21 | 27 | -6 | 23 |
| 17 | Stoke CityStoke | 21 | 5 | 7 | 9 | 23 | 28 | -5 | 22 |
| 18 | Queens Park RangersQPR | 21 | 4 | 10 | 7 | 21 | 27 | -6 | 22 |
| 19 | Luton TownLuton | 21 | 6 | 4 | 11 | 23 | 37 | -14 | 22 |
| 20 | Oxford UnitedOxford Utd | 20 | 4 | 6 | 10 | 21 | 33 | -12 | 18 |
| 21 | Cardiff CityCardiff | 20 | 4 | 6 | 10 | 19 | 32 | -13 | 18 |
| 22 | Portsmouth | 19 | 3 | 8 | 8 | 21 | 34 | -13 | 17 |
| 23 | Plymouth ArgylePlymouth | 20 | 4 | 5 | 11 | 19 | 42 | -23 | 17 |
| 24 | Hull City | 21 | 3 | 7 | 11 | 19 | 30 | -11 | 16 |
| > Championship Full Table | |||||||||
