The point gained coupled with Brighton's defeat at Barnsley leaves Leeds five points adrift of sixth-placed Nottingham Forest with nine games remaining and Warnock said the run-in will be a "rollercoaster".
"I think anything's bridgeable in this league," said Warnock. "I'm pleased that at Leicester and Palace we showed we can go away and win games now. Every game we don't win at home is a missed opportunity. Same when we lost to Cardiff.
"But there's nine games left. I think we can win away from home now, which I didn't think we could before this latest run of games. So if you get a point away and a win at home everything changes. I won't be diverted from the nine games that are left. It's going to be a rollercoaster."
Peterborough's Dwight Gayle had already rattled the bar with a volley when he stunned Elland Road with a blistering opening goal in the 15th minute. Leeds raised their game, but had to wait until the 57th minute before teenage defender Sam Byram turned home Stephen Warnock's corner at the far post.
Leeds poured on the pressure in the second half and substitute Jason Pearce headed agonisingly wide in stoppage time. But Peterborough also carved out plenty of chances and striker Gayle almost won his side a penalty in the 86th minute when Leeds midfielder Paul Green hauled him down on the edge of the area.
Peterborough, who thrashed Millwall 5-1 and won 3-2 at Blackburn in their previous two away games, leapfrogged Wolves and Bristol City but failed in their bid to climb out of the bottom three. "It's not a good point," said manager Darren Ferguson. "It's really disappointing that we dropped two points."
Ferguson was aggrieved Leeds defender Warnock was not shown a red card for his 70th-minute challenge on Kane Ferdinand on the edge of the box. "I've just seen the referee and to be fair he said he'd watch it again," said Ferguson.
"You've got to be denying a goalscoring opportunity and if that's not a goalscoring opportunity I don't know what is. But to be fair to the ref he said he'd phone me and apologise.
"That might stop us going down and it might not stop us staying up, but at least he's done that. If it happened at the other end the referee would not have got out of here alive if he hadn't given a red card."
- Sports & Recreation
- Stephen Warnock