A pouch with a valve includes first and second pouch sidewalls sealed to one another to define an opening. A resealable closure mechanism is attached to inner surfaces of the first and second sidewalls proximate the opening to define a pouch interior opposite the opening. A channel extends from the interior to the opening between a section of the first closure element and the first sidewall. A pleated thermoplastic member is sealingly disposed in the channel and has an aperture disposed through the member. A fluid path may provide direct fluid communication between the interior and an exterior of the pouch, wherein the fluid path passes through an edge of the pouch defined by at least one of the first or second pouch sidewalls. A valve is sealingly disposed in the fluid path, wherein the valve comprises a pleated thermoplastic member attached to at least one of the first or second pouch sidewalls and having an aperture disposed through the pleated thermoplastic member to provide fluid communication between the interior and the exterior of the pouch.