The Whites travel to Middlesbrough on Tuesday night five points adrift of the top six having dropped two valuable points at Wolves on Saturday.
Danny Batth's first league goal in stoppage time saw Wolves clinch a late point at Molineux, leaving Leeds to rue a missed opportunity to close the gap on the play-off places.
Warnock, whose contract runs out in May, confirmed earlier this week no talks about his future at the Elland Road side had yet taken place.
But the 64-year-old former QPR and Sheffield United manager, still thinks promotion is achievable for Leeds.
"We've 16 games left and we'll be giving it a bloody good go," Warnock told the club's official website.
"We were disappointed not to take all three points on Saturday, but you move on and we'll look to the Middlesbrough game.
"I've said before that time is running out for me as a manager and I want to go up. I want to get in the play-offs. That's why I'm here, that's what I want to achieve.
"That's why I'm more disappointed and frustrated than anyone when we come away with a point from a game we should have won."