An integrated circuit comprises logic circuitry, organized in a multi-level hierarchy of modules. The integrated circuit comprises multiple sensing circuits. In operation, each sensing circuit senses an instantaneous current consumption IC of a respective one of the modules that draws current entirely through that sensing circuit. The integrated circuit comprises a concealing circuit for each of the sensing circuits. In operation, the concealing circuit receives as input a voltage VC corresponding to the sensed instantaneous current consumption IC of its respective module, and the concealing circuit dissipates an instantaneous power PL such that an instantaneous power sum PTOTAL of the instantaneous power PL and the instantaneous power PC to be dissipated by its respective module is substantially independent of activity of its respective module.