Is 8 gauge wire enough to power a 600 watt pioneer amp?

I currently have an Alpine 3527V 4/3/2 Channel amp (pretty oldschool) and it's being run by a Legacy 8 Gauge wiring kit. The alpine is on its last leg so I just bought a new Pioneer GM-6400F 600-Watt, 4-Channel Power Amplifier, and I'm wondering if the 8 gauge kit is large enough to support the amp. If it's not, could I just replace the power/ground wires with 4 gauge, or would I need to rewire the entire system? Thanks!