The international Muon Ionization Cooling Experiment aims to demonstrate the transverse cooling of a muon beam by ionization interaction with absorbers and re-acceleration in RF cavities. The final MICE cooling channel configuration has two RF modules, each housing a 201 MHz RF cavity to compensate the longitudinal energy loss in the absorbers. The RF modules will be assembled and tested at LBNL before being shipped to and installed at RAL. This paper reports the recent progress on the manufacturing and testing of the RF module components, as well as the preparation for the final module assembly.