The Cottagers have endured a frustrating start to the season and have yet to secure a top flight victory since Martin Jol's appointment in the summer.
While the west Londoners are on an eight-game winless streak in all competitions, Clausen expects a tough match in Denmark on Thursday evening.
"You can always ask whether they lack confidence or not," he told Press Association Sport.
"Looking at the latest results from Fulham they have not won but they have not lost for like a month.
"I think that is something that normally gains stability and makes a good platform for making confidence so I am not sure they are without confidence.
"I think we are more focused on ourselves.
"We may lack a little bit of confidence, especially after recent performances, but we have to go again and this is another game for us.
"We can play without being the favourite and that could be a bonus for us."
Odense boast a host of Premier League experience in their squad, including former Wigan midfielder Andreas Johansson, ex-Everton goalkeeper Stefan Wessels and Bernard Mendy, who had spells with Bolton and Hull.
The Danish side could also field former Manchester United and Aston Villa midfielder Eric Djemba-Djemba at the Odense Stadion.
The Cameroon international has become a figure of fun in England but Clausen warns he has the class to hurt Fulham.
"I think, looking back over the three and a half years he has been here, he has been one of the best players for Odense," he said.
"He has had his ups and downs, some injuries and maybe some periods with not so good performances, but overall when the time comes and you look back he is one of the best players in the Superliga."
Fulham manager Jol admits the Cottagers must begin turning draws into victories, starting with Thursday's match.
Jol admits the run is frustrating and is hoping for a change of fortune.
"I think we will turn a corner somewhere," he said. "A draw is not a defeat.
"If we had four or five defeats it would have been a disaster.
"We weren't good enough in the final third of the pitch [against West Brom] but we still had seven or eight chances so that gives us a little bit of spirit coming back.
"It's a very thin line. Aston Villa have had five draws and one win and they've got a good position in the league.
"We should have beaten them at home, and even Blackburn.
"We had all draws, five on the trot I think, but we should have won even three of them."