Analog Devices explains when the maximum supply current given by the datasheet could lead you astray:
For most integrated circuits, a maximum supply current is listed on the data sheet. Often overlooked are the measurement conditions. For some rail-to-rail output op amps, certain operation can result in supply currents two to ten times higher than the stated maximum. Whether bipolar or CMOS, some tips are given as to what to look for to see whether or not this is a concern.