Posh are on the march under Graham Westley.
And the new boss, who has overseen a 10-place rise up the League One table in four games, is not sure when the improvement will stop.
“I’d never predict how far a team can go, because why put a limit on it?” Westley said.
“I do know our plans are working and I do know that I have a very young squad who have shown the ability to learn quickly.
“Our stats re possession and ground coverage are improving and we have won three away games in a row which is a big positive.
“We are in a good place, but there is still a long way to go.”
The bookies are taking notice of Posh’s improvement in recent weeks.
Westley’s wonders were 25/1 for promotion with Football League sponsors Sky Bet when he took charge.
Last night (Wednesday)those odds had tumbled to 8/1.
Meanwhile Westley has warned his players to beware a wounded Port Vale side on Saturday (October 17).
Vale have lost at home to Blackpool and away to Southend in their last two competitive fixtures.
“We will never, ever under-estimate anyone,” Westley announced. “Port Vale have shown several times this season that they can react well to a setback.
“They have beaten some good sides at home and they have strengths that we will have to neutralise and weaknesses that we will try and expolit.
“I watched Millwall do a number on them earlier in the season. Millwall used a style that helped them dominate Port Vale.
“We won’t use the same style, but we will try and impose our game on them and hopefully get the same result.
“It’s a big pitch at Port Vale which should suit us.
“We have strong attacking players in good form so the more space we find the better.”
Posh midfielder Chris Forrester faces a late fitness test after limping out of last weekend’s 2-1 win at Swindon with a shin injury.
Marcus Maddison should be fit after sitting out the game at the County Ground on the substitutes’ bench with a slight ankle injury.
Midfielder Erhun Oztumer completes his three-match suspension on Saturday.
A win for Vale would take them above Posh.