CAN BUS electrical characteristics
According to this article from Texas Instruments, a typical CAN bus driver output stage will look something like this:



Thus, we can expect the bus to draw significantly more current in the dominant state. Unless we know the termination (load) resistance, differential voltage (CANH-CANL), and maximum output current of the drive IC, we can't determine the exact current in the dominant state.

In the recessive state, the current will be nearly zero since nothing is actively driving the bus.