That is why Coyle has told his current crop of players not to drop their guard if they want to spring a surprise.
He said: "I hope it is a better result. Your focus and concentration is so important.
"We were very comfortable in that game for a while and Liverpool hadn't had a shot on target.
"All of a sudden though they scored two quick goals. What you have to remember is top teams only need a sniff to hurt you."
Since Coyle switched clubs, Bolton have chalked up successive victories against his former side Burnley and Sheffield United after two defeats by Arsenal.
He believes his team will face Liverpool, who had to settle for a point against Wolves, with confidence especially after two clean sheets.
Coyle said: "We need to repeat our performances in the last two games. It is match to look forward to.
"My team will be going toe to toe with some of the best players in world football but have a chance to show they can play a bit as well.
"I have been delighted with the quality and application of the players. What we have to do is add to it.
"You do not come in with a magic wand. You come in with a recipe for hard work. There are areas we can work on to make us better as a group.
"We have managed to move out of the bottom three but only just. We are not kidding ourselves.
"We are not getting carried away. The hard work is ahead of us. It is a challenge we are up for."
Coyle could be tempted to opt for the same team that defeated Burnley in midweek thanks to Chung-Yong Lee's fifth goal of the season.
Vladimir Weiss may have to settle for a place on the bench again after coming on late in the game.
The Slovakia winger, who is on loan from Manchester City until the end of the season, is relishing the chance to get some games until his belt.
He said: "I have not played a first team game for a long time because of the quality of players that City have.
"Wigan and Bolton showed an interest in me and after I spoke to the manager Owen Coyle I knew that I wanted to come here.
"I've got the World Cup coming up this summer, so I'm hoping that I can get some games and experience before then and that I can help Bolton."
Former Houston Dynamo midfielder Stuart Holden is still struggling with a thigh strain while Mark Davies is sidelined because of an ankle injury.