The scene where the sheep are lined up to be 'disguised' before climbing down into the tunnel is a parody of a similar scene from the 1960s movie "The Great Escape." In the classic film set in a Nazi POW Camp during WWII, the Allied prisoners formulate an elaborate scheme to tunnel out of the camp. Prior to going into the tunnel to escape from the camp, civilian clothing and disguises are distributed to the escapees.
In "Fleeced", the sheep are want to escape from the barn before they all get their fleece sheared off by the farmer. Their plan is to tunnel their way out of the locked being guarded by Bitzer. After the flock digs the tunnel, Shaun outfits the escaping sheep with silly fake mustaches, beards, and hairpieces in odd colors.. Timmy's mother is wearing a fake beard that nicely compliments the pink rollers she always wears in the fleece on her head. Another sheep is sporting a huge orange mustache. Yet another has blond Heidi-like pigtails, complete with bows. In addition, some of the sheep are wearing ridiculous accessories such as sunglasses, a top hat, a driving cap or a large green bow tie with white polka dots.