The Blues have moved up to 16th place in the Championship table in recent weeks, and the former Huddersfield Town boss believes that his team can earn a result at the KC Stadium.
Clark told the Birmingham Mail: "I think we've been turning the corner for a long time.
"We've had one or two little bumps along the way, but since a couple of weeks before Christmas overall the performances have been very, very encouraging.
"We've got individuals who are playing well. More importantly, the group are a strong unit and we go to Hull full of confidence."
Birmingham have lost just one league game since New Year's Day.