In April this year, they won legal aid to fund the proceedings.
Mr Walker is bringing the case jointly with the other men and it is expected the cost will run into hundreds of thousands of pounds.
Since he was freed in August last year when King Fahd granted the prisoners clemency, he has struggled to come to terms with the horrors he endured.
He has undergone a series of tests at the Parker Institute in Copenhagen, Denmark, to prove he was tortured.
And he has told how the experience has left him unable to get another job and he is dependent on hand-outs from the government.
He relies on the generosity of his friends, who campaigned tirelessly for his release, and is living a hand-to-mouth existence in a modest council flat in Neston, south Wirral, with wife Ida.