The 32-year-old is currently available on a free transfer after being released by Bolton Wanderers earlier this week.
Following the Owls' promotion to the Championship, manager Dave Jones is hoping to bring in some more experienced players and he intends to open talks with Klasnic in the near future, according to The Mirror.
Klasnic was Bolton's top scorer this season with nine goals.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 10 | 8 | 1 | 1 | 19 | 6 | 13 | 25 |
| 2 | Manchester CityMan City | 10 | 7 | 2 | 1 | 21 | 11 | 10 | 23 |
| 3 | Nottingham ForestNott'm Forest | 10 | 5 | 4 | 1 | 14 | 7 | 7 | 19 |
| 4 | Chelsea | 10 | 5 | 3 | 2 | 20 | 12 | 8 | 18 |
| 5 | Arsenal | 10 | 5 | 3 | 2 | 17 | 11 | 6 | 18 |
| 6 | Aston Villa | 10 | 5 | 3 | 2 | 17 | 15 | 2 | 18 |
| 7 | Tottenham HotspurSpurs | 10 | 5 | 1 | 4 | 22 | 11 | 11 | 16 |
| 8 | Brighton & Hove AlbionBrighton | 10 | 4 | 4 | 2 | 17 | 14 | 3 | 16 |
| 9 | Fulham | 10 | 4 | 3 | 3 | 14 | 13 | 1 | 15 |
| 10 | Bournemouth | 10 | 4 | 3 | 3 | 13 | 12 | 1 | 15 |
| 11 | Newcastle UnitedNewcastle | 10 | 4 | 3 | 3 | 10 | 10 | 0 | 15 |
| 12 | Brentford | 10 | 4 | 1 | 5 | 19 | 20 | -1 | 13 |
| 13 | Manchester UnitedMan Utd | 10 | 3 | 3 | 4 | 9 | 12 | -3 | 12 |
| 14 | West Ham UnitedWest Ham | 10 | 3 | 2 | 5 | 13 | 19 | -6 | 11 |
| 15 | Leicester CityLeicester | 10 | 2 | 4 | 4 | 14 | 18 | -4 | 10 |
| 16 | Everton | 10 | 2 | 3 | 5 | 10 | 17 | -7 | 9 |
| 17 | Crystal Palace | 10 | 1 | 4 | 5 | 8 | 13 | -5 | 7 |
| 18 | Ipswich TownIpswich | 10 | 0 | 5 | 5 | 10 | 21 | -11 | 5 |
| 19 | Southampton | 10 | 1 | 1 | 8 | 7 | 19 | -12 | 4 |
| 20 | Wolverhampton WanderersWolves | 10 | 0 | 3 | 7 | 14 | 27 | -13 | 3 |
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