What are the accuracy requirements? You have an op-amp with an offset voltage of up to 5mV, measuring a voltage of up to 100mV, so the tolerance will be ±5mV, assuming a unity gain. The offset will be multiplied by the gain, so if it's 40, to give 4V at full range, then it will be ±200mV. Note that this is irrespective of the input current. If the current is zero and the offset is 5mV, the output will be 200mV, whilst if the offset is -5mV, the output will be zero, for currents below 100mA, as it can't be negative, without a dual power supply.