The present disclosure relates to a steam supply system for supplying steam to a steam process, for example a paper drying system. The steam process has a high pressure condensate return and a low pressure condensate return. The steam supply system has a high pressure flash tank arranged to receive the high pressure condensate return and to generate a flash steam output for the steam process. The steam supply system also includes a low pressure flash tank arranged to receive the low pressure condensate return and generate a flash steam output. The steam supply system also includes a compressor arranged to compress the flash steam output of the low pressure flash tank and to provide the compressed flash steam to the high pressure flash tank.