Attiny84 advantage over 328p for power saving

I am looking for a low power yet offering 4 PMW and an analog input pin microcontroller.
Atmega 328p is already a nice option. However, I am just wondering if using attiny84 would help me to save more power ? Assuming both of them are used without any sleep modes.

The details of current usage under different conditions are shown graphically in the datasheets. But the answer to your question is basically: a little bit.