The 37-year-old took over at the KC Stadium on Wednesday following the departure of Nigel Pearson to Leicester City.
"We said this many weeks ago that money to Nigel would be available - a million pounds in January for the transfer window," said Tigers owner Assem Allam.
"That same amount is still available for Nick."
Barmby takes his side to Derby County in the Championship on Saturday.
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 | |||||||||
