Scott Paterson, the club's assistant manager, says the players have already demonstrated that they can cope with the strain after holding off Morton to clinch promotion 12 months ago.
The Firhill side - two points ahead of 11th-placed St Mirren - face a different kind of proposition this term as they seek to avoid a relegation play-off against the second-placed team in the Championship.
Speaking ahead of tomorrow's match against Hearts - who will be relegated if they fail to win at Firhill or if St Mirren gain a point at home to Motherwell - Paterson said: "Last season the boys were expected to win every game. We were top of the league and every Saturday or midweek, we had pressure on us to get the points. But we knew this season would be different.
"We had a nervy run in last season and it will be the same this time, except it's at the opposite end of the table. But the nerves will be the same and there are lessons we can use this time."