A chest valve including: a housing including an inlet configured to connect to a chest tube, an outlet and a fluid passage from the inlet to the outlet; and a one-way valve within the housing and included in the flow passage, wherein the one-way valve includes: (i) a first tubular strip wherein having an internal air passage and a first layer defining the air passage, wherein the first layer has a first thickness and the internal air passage of the first tubular strip is included in fluid passage of the housing; and (ii) a second tubular strip wherein having a second layer with a second thickness with a second thickness greater than the first thickness, wherein an outer surface of the second tubular strip is adjacent and overlaps an outer surface of the first tubular strip.