A flexible package having a closure device and a lap or fin seal is provided that reduces or eliminates an air gap present at the fin or lap seal portion of conventional packages. The package can include a film with a closure applied to the film. A bridge material is provided to the film to fill the air gap when the closure is in a sealed condition. The flexible package alternatively can include a film having a closure device applied to the film transverse to the first and second side edges of the film, with the first side edge portion extending into the fin seal such that at least a portion of the first side edge portion to eliminate an air gap between the fin seal and at least one of the first and second side edge portions.