Darren Murphy has urged his players to ‘keep up the fight’ as they look to maintain their top six hopes.
The Swifts earned a spirited 1-0 win over Warrenpoint Town on Saturday to move to within three points of the top half of the table.
Murphy’s side entertain Coleraine at Stangmore Park on Monday night (7.45pm) – a side who lag eight points behind Dungannon.
“We showed great character on Saturday and we ground out a good win,” Murphy said.
“We showed a different side to us, a fighting quality that we will need to keep showing from now to the end of the season.
“It gives you a real lift when you win a game like that. It was an honest, hard-working performance and we got the result we deserved.
“Now we have to carry that into Monday night’s game with Coleraine. They are coming off the back of a 2-2 draw with Ballymena, and they were 2-0 ahead.
“So they will be disappointed and will be looking to bounce back.”
Coleraine conceded two second half goals as they threw away a 2-0 lead against derby rivals Ballymena on Saturday.
Manager Oran Kearney voiced his frustration at the result, one that damages their faint hopes of finishing in the top six this season.
The Bannsiders currently trail sixth-placed Glenavon by 11 points with only five games before the split.
“Until it’s mathematically impossible you still have to keep going for it, but we basically have no room for error and it is getting near to that stage now,” Kearney admitted.
“Saturday was a disappointing result. I felt if we could have claimed three points against Ballymena, and defeated Dungannon on Monday night, then it wouldn’t have given us a fighting chance of reaching the top six.
“Glenavon obviously have a couple of games in hand, but you would rather have the points on the board.
“But we only have ourselves to blame. We have had umpteen games this season where we have performed well for large periods and then come away with a draw or defeat.
“We have to play for 90 minutes, and we haven’t done that in a lot of games. And you can’t afford to switch off or you end up paying the price – and we have paid the price.”
Kearney added: “But we have to keep fighting to the end of the season.
“We have 10 league games remaining, and also the Setanta Cup to come. We can’t afford to slack off.”