The Trotters put in their best performance of the season to beat Liverpool 3-1 in the Premier League last weekend but boss Owen Coyle was disappointed all the attention afterwards was on the struggles of their opponents.
Now the Scot is hoping they can carry that form into this weekend's clash against Brendan Rodgers' team, who came out on top when the sides met in the league in October.
Coyle said: "We didn't get the credit we were due for our performance because everyone seemed to be saying Liverpool didn't do well; well sometimes you're not allowed to do well because of the pressure the opposition puts on you, and we showed great quality.
"Sometimes when you play the elite clubs you have to ride your luck, but nothing could be further from the truth, from start to finish we dominated that game.
"We've got a big game on Saturday and if we win that then that would cap off a very good week. We've got a tough cup tie against a very good Swansea side but one we're looking forward.
"They're a team that can pass and move the ball with the very best. They've got some terrific players, Brendan is a terrific man and someone I've got a lot of time for, but we'll be going all out to try to progress to the last 16."
Bolton have had a torrid time since losing 5-0 to Stoke in the semi-finals of the FA Cup last season but there have been a few positive signs recently, not least an easing of their injury crisis, and the Liverpool win took them out of the bottom three.
Coyle played down the significance, saying: "We all realise there's a stigma involved in being in the bottom three but the important time to be out of the bottom three is after the last game of the season.
"We've won a game last week and it was a valuable three points but equally what we've got to do is make sure when we go back to the league that we continue to pick up points.
"Everybody looked at our fixtures going into the new year: Everton away, Manchester United away, Liverpool at home, and I've got no doubt, outside our football club, everybody thought Bolton Wanderers wouldn't take a point, but we've totally disproved that and taken six, and what we must do is kick on now."
Coyle clinched his first signing of the January transfer window yesterday with the arrival of USA international defender Tim Ream from New York Red Bulls, but he will not pursue his interest in another player from across the pond.
Philadelphia Union striker Sebastien Le Toux trained with the Trotters last week but did not impress sufficiently.
Coyle said: "Sebastien came in for a couple of days, and to be fair to him he hadn't trained for four or five weeks. He did fine and that's where it is. We'd have probably needed a longer look."
The Scot, meanwhile did not elaborate on speculation linking Bolton with a loan move for teenage Porto striker Juan Manuel Iturbe, although he did describe the Argentinian as an "outstanding talent".
He added: "We do have one loan signing available to us. We're hopeful we'll be able to add before the window closes next week."
Coyle also denied any clubs have been in contact about a move for out-of-favour captain Kevin Davies and insisted he wants to keep the striker at the Reebok Stadium.
"There'll always be teams that will crave a player of Kevin's ability and the qualities he brings but I've certainly not had any dialogue with anybody," added Coyle. "And that's great, because we don't want Kevin going anywhere."
