With just three matches of the season remaining, second-placed Saints trail leaders Connah’s Quay Nomads by two points.
The division’s top two teams played out a 0-0 draw at the Deeside Stadium on Saturday, a week after Connah’s Quay beat TNS 4-1 in Oswestry.
If Nomads end the season with three wins from as many games, whatever Saints achieve over the closing weeks of the campaign would not be enough, with their title hopes no longer in their own hands.
TNS left back Chris Marriott said: “Normally we’re used to things being in our hands and having our destiny that we can manage really, but it’s not to be. We’ve just got to win all our games and see what happens – and that’s all we can do now.”
After tonight’s trip to fourth-placed Penybont, Saints will complete the season with two home matches at Park Hall against Barry Town United and Bala Town.
Connah’s Quay are also on their travels tonight as they go to fifth-placed Barry Town United.
Nomads then have a home game against Caernarfon and an away fixture at Penybont.
Saints will be targeting a return to winning ways tonight after claiming just two points from their last three league games.
TNS were 4-0 winners at Penybont on their last visit in October.