That's nice but no room for improvement and you'll never hear the full potential of the speakers.
Look at it like this.... Your speakers can play and handle 60w all day long giving you their best, nice thing is they can probably handle more like 75w RMS all day.
Now you're wanting to put an amp in that at it's best can push 50w but it's rarely going to hit those levels because, unless you listen to death metal, you rarely will see music at 100% volume 100% of the time. So in the end you'll max the levels out on the amp and head unit. Then when you push it, it's going to heat up fast and it will start clipping at the amp and probably the head unit.
Really get a more powerful amp.
Alpine MRP-F600
JBL GTO1004
Polk Audio PA500.4