Leicester, who flirted with relegation for most of last season, have a seven-point lead over second-placed Spurs and will lift the title if they win three of their remaining five league games.
“For a team to go from the bottom of the table a year ago to maybe winning the title is a fantastic achievement and it'll never happen again,” Shawcross told British media ahead of Tottenham's trip to ninth-placed Stoke.
“Hopefully we can get the win that helps Leicester win the title but it's going to be a difficult game.”
Shawcross also praised Leicester's imposing centre-back Robert Huth, a former Stoke City team mate.
“I'm pleased to see him doing so well and he's been a catalyst for the success they've had and how well they're doing,” he said.
“His performances have been fantastic so I hope they do go on and win it.”
Leicester host fifth-placed West Ham United on Sunday and a win for the Foxes would see their lead over Tottenham stretch to 10 points for at least 24 hours.
Original source: Stokes hoping help Leichester win the title