The Tangerines are not yet mathematically consigned to relegation, but their fate was surely sealed by their 3-1 defeat at home to fellow strugglers Wigan Athletic last weekend.
They are now winless in seven, picking up just two points from a possible 21 in that time, and while Clark has refused to give up hope until the team's destiny is officially confirmed, he will surely be starting to plan for League One in the coming weeks.
The hosts have conceded 19 goals in that winless run - an average of almost three per game - with nine of those coming in their last three home matches.
Bournemouth loanee Miles Addison made his debut during the midweek defeat to Birmingham and is expected to keep his place in the starting XI, with Clark having no new injury concerns to worry about.
Wednesday, meanwhile, remain in the top half of the table but, with 15 points separating them from both the playoffs and the relegation zone, staying in the top 12 will be their main goal for the remaining months of the campaign.
The Owls have only picked up two wins from their last 10 games, the most recent of which came against current league leaders Middlesbrough last weekend.
Wednesday have lost three of their last four away games, but their record on the road for the entire season is an impressive one - only the top five in the table have picked up more points on their travels.
Recent form: LDDLLL
Possible starting lineup: Parish; Maher, Hall, Addison, Aldred, Ferguson; Perkins, Telford, O'Hara; Delfouneso, Madine
Recent form: LDLWWL
Possible starting lineup: Westwood; Palmer, Lees, Zayatte, Dielna; McGugan, Hutchinson, Maguire, Maghoma; Keane, Nuhiu
Sports Mole says: 0-1