They entertain Tottenham on Wednesday night and then West Brom next weekend before travelling to Stoke on the final day of the campaign, and Coyle is confident they can ease themselves over the line.
He said: "I am very confident - I always have been because I know what we have as a group and I know how hard we are working behind the scenes to implement bits and pieces we want at our football club.
"But within that, we realise that short-term, we have to make sure that we stay in the Barclays Premier League so then all the hard work we are putting in comes to a fruition.
"We will decide what happens to Bolton Wanderers. It's in our own hands to go and do that.
"We have taken 14 points from the last 24 - it probably should have been 16 on today's showing - so we know we are on a good run of form."