Doesn't look like a problem.
To be sure I'd pry open that case and make sure that volume slider has at least 6 pins/leads (R/L/G input + R/L/G output). You might not even need to do that. Take a look at the jack(s), both input and output (can't tell if those are jacks or they are hard wired into that control: if they're jacks - you don't have to open the case) and make sure it's stereo: the tip is the left channel, the next ring is the right channel, and the long ring is the ground. Simply put: the mini-jack will have 3 sections. If this is the case it's just a simple swap.
If this is confusing let me know.
Edit: I'm doing this the hard way. Just look at the jacks into the computer and the amp (they will be the same at the volume controler end - smacks self in forehead). If they are 3 ring stereo you are good to go.
I took the thing apart once and in there you have only the cheapie wheel.
Sorry to temp you.

