Bolton, in 18th on 35 points, trail Queens Park Rangers, who face City away on Sunday, by two points.
Should they fail to win at Stoke or if QPR force a result, Bolton will join the already consigned Wolverhampton Wanderers and Blackburn Rovers in the Championship next season.
However, victory at the Britannia Stadium coupled with a City win would see Bolton move out of the relegation zone and into Premier League safety at the expense of QPR.
Bolton skipper Kevin Davies urged his side to replicate recent away wins against Wolves and Aston Villa.
"It would be a great escape," Davies told the official Bolton website.
"Let's hope we can do it the hard way because you know it will be difficult at Stoke and they'll want to finish the season off in style.
"It is all hands to the pump and we know we'll have to pull out a massive result. But we have done it before - we did it at Aston Villa - we need some heroes.
"You need to be putting your body on the line and we haven't been doing that enough."
Bolton have kept just one clean sheet - at home to Arsenal in a scoreless draw in February - in their last 26 outings.
Stoke, in 14th on 44 points, are winless in their last five matches but cannot finish lower than their current position on the table.
Tony Pulis' side can climb to 11th with a win over Bolton should Sunderland, Swansea and Norwich drop points in their final outings.
Bolton thrashed Stoke 5-0 last time the sides met at Reebok Stadium in November.