Calculations have been made of the rate at which confined magnetic flux compressed by an imploding cylindrical liquid metal liner diffuses into the latter because of finite electrical resistivity. The diffused magnetic field profile and associated magnetic energy and Joule heating are also calculated. In the limit of high magnetic Reynolds numberRm, the skin depth, total diffused flux, and associated energy scale likeRm−1/2. It is shown that cylindrical liner motion mitigates the diffusion calculated in slab models, owing to the reduction in the surface area through which the flux must diffuse. The influence of the form of the liner motion on the results is displayed.