The Cottagers are favourites as they are second in the Premier League fair-play table behind Chelsea who have qualified for the Champions League.
Tottenham and Blackpool are also in contention, although Spurs could qualify through their league position.
The winning team will be given a place in the first qualifying round.
Norway topped the Uefa Respect Fair Play rankings, which are based on games played by a country's clubs and national teams in Uefa competitions between 1 May, 2010 and 30 April.
England were second in the table while Sweden, in third, were also rewarded for their teams' conduct in Uefa games.
The standings take into account assessments made by Uefa officials on criteria such as positive play, respect for the opposition, respect for the refere, behaviour of the crowd and team officials, as well as yellow and red cards.