The 32-year-old former Newcastle and Sunderland star is available on a free transfer but Leeds number two Sam Ellis said his wage demands were too high.
"It looks unlikely anything will happen," he told the Evening Post.
"Players coming out of the Premiership have to understand that until they are realistic in their demands, they won't be coming down to the Championship."
Lee Clark
Honours: Division One '93, '99, '01
International Honours: England: U 21-11; Youth; Schoolboy
Transfers:
Newcastle United From trainee on 9/12/89) Football and Premier League 153+42/23 League Cup 17 FA Cup 14+2/3 Others 7+5/1
Sunderland (£2,750,000 on 25/6/97) Football League 72+1/16 League Cup 4+1 FA Cup 4 Others 3.
| Date of Birth: | 27/10/1972 (31) |
| Place of Birth: | Wallsend, Eng |
| Position: | Midfield |
| Squad Number: | 10 |
| Height: | 5' 8 |
| Weight: | 11st 7 |