Goals from Neil Danns and James Vaughan secured a 2-1 victory for the Terriers, with Aidy White heading home Leeds' only goal.
It was a first home defeat for Leeds since early February and leaves them four points adrift of the Championship play-offs with eight games remaining.
"Realistically we're running out of games and (the owners) GFH know my situation, I speak to them on a regular basis," the 64-year-old said.
"Once we're out of contention for the Premier League they know I won't be having another year in the Championship.
"They've got to look after themselves really. We've spoken about my successor, about people coming in if mathematically it's impossible to get into the play-offs.
"I'd like to think that I'd have an input on that because the job we've done over the last 12 months, the staff and I, I think is fantastic.
"Yes I'm frustrated because we just lack that bit of quality, a bit of midfield creativity and a bit of pace.
"We've sorted everything else out, but haven't been able to sort that out and it catches up with you."