The west Londoners are the only Barclays Premier League side without a win this season and languish 17th in the table.
Fulham's winless streak stretches back eight matches in all competitions, with the last victory recorded against Dnipro on August 18.
Jol admits the run is frustrating and is hoping for a change of fortune in Thursday's Group K fixture at Odense.
"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."
Odense started the season in the Champions League, where they defeated Panathinaikos over two legs before losing to Villarreal in the play-offs - despite winning the home leg 1-0.
The Danish outfit also secured a 3-1 victory at Wisla Krakow in their Europa League group opener, but come into the match on the back of three successive defeats.
"They've got a few good players," Jol said.
"The only good thing, probably, is they lost three games, which is not typical for them, so maybe we can take advantage.
"They are a good team. All these Danish teams are good footballing sides.
"It is the same as in Holland, they try and play in a similar way.
"But, of course, we have a very good team and we have done well away from home in Europe.
"I think we need a result so it will be quite interesting.
"Wisla is a good team. I know them because the coach there is a Dutch guy, and they beat them 3-1 away from home.
"That was a very strange result, so that means they've got a lot of quality.
"That is why we need results - not only draws but three points. Hopefully we can beat them.
"If we can have another draw that's okay, but then you have to beat them at home.
"You need seven or eight points to get to the next stage."
Fulham boast a strong squad for Thursday's match but travelled to Denmark without Mousa Dembele and Bobby Zamora.
"Mousa Dembele has stayed in London," Jol added.
"Zamora did too as they both need some extra conditioning sessions because they weren't fit. They had a bug.
"Zamora was ill before the last game with West Bromwich.
"He was back in training yesterday but was not 100% so we left him with the staff with to make him ready for the next game."
Meanwhile Odense BK manager Henrik Clausen does not believe Fulham's indifferent Premier League form will hamper them.
"You can always ask whether they lack confidence or not," he said.
"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."