The Welsh club are preparing for a crunch home game with West Ham in the Premier League on Saturday.
Britton, 35, who joined in 2002 from the Hammers, said: “I do think the experience helps if I am being honest.
“The last couple of years have been tough but now we are in a situation we have been in before and we have got out of it.
“We know what it takes and what we have got to do. We have to call on that experience and use it in difficult periods.
“There will be twists and turns even with 10 games left.
"Last year with five games left we were on a bad run until that point and people probably said we were dead and buried.
“But we have to remain calm, use that experience we have had in the past couple of years and take that into the remaining games and hopefully get the job done."