mo' better bass: any substitute for watts?

Generally speaking, and all things being equal, will higher wattage amps generally produce more, better defined bass than lower wattage amps at a given volume level? I don't seem to hear much bass until I turn my amp up to a level that doesn't suit my listening habits. Wondering if this could be improved by upgrading my old NAD 25(or is it 35?)wpc Powerdrive amp with a newer, modest amp in the 100 wpc range or so. I'm thinking about driving a power amp directly off of an Oppo 980H. Speakers are Rega R3's which can produce bass in my small room when I crank the volume and/or bass tone control. Thanks!