A wrappable textile sleeve and method of reducing cracking in a foil layer of a wrappable textile sleeve are provided. The sleeve includes an elongate wall extending along a longitudinal axis between opposite ends with lengthwise extending edges extending along the longitudinal axis between the opposite ends. The wall includes a textile layer, a polymeric film layer fixed to the inner textile layer and a metal foil layer fixed to the polymeric film layer. The polymeric film layer has a first thickness and the metal foil layer has a second thickness, wherein the second thickness is greater than the first thickness.