A differential fuse sensing system includes a fuse leg configured for introducing a sense current through an electrically programmable fuse (eFUSE) to be sensed, and a differential sense amplifier having a first input node coupled to the fuse leg and a second node coupled to a reference voltage. The fuse leg further includes a current supply device controlled by a variable reference current generator configured to generate an output signal therefrom such that the voltage on the first input node of the sense amplifier is equal to the voltage on the second input node of the sense amplifier whenever the resistance value of the eFUSE is equal to the resistance value of a programmable variable resistance device included within the variable reference current generator.