Swann, who forms part of the team behind PeterboroughToday.co.uk, is reporting that the Saddlers have sought to recruit former Rotherham United, Leeds United, Mansfield Town, and Peterborough United boss Steve Evans, with the 56-year-old apparently turning down their approach.
Evans, who is currently unemployed after leaving Peterborough in late January, is believed to be in no hurry to return to the dugout, with the Glasgow-born former striker happy to bide his time before getting back into work.
The Saddlers, who have lost of their last five league outings, are currently 22nd in the League One table and in dire need of a return to form as their opportunities to return to safety continue to dwindle as each matchday goes by.