The Tigers reportedly had their initial offer for the 28-year-old rejected by Norwegian club last week.
However, Jarstein remains hopeful that a deal can be struck.
"Hull would be a fantastic option that I am keen on," he told Stavanger Aftenblad. "I still hope and believe that it will be sorted out."
Jarstein has been capped 26 times by Norway at senior international level.
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 | |||||||||
