well it's not that it won't work, it's more like it won't work well.
A volume pedal will boost your signal so it's louder, but you'll need to be pretty damn loud to be be heard clearly over the rest of the band. What you want to do it to cut though a bit more, rather than simply drowning the rest of the band out. Mids are probably the most important frequency on a guitar. When you play in a band, most of the highs on the guitar are overpowered by the drummner's cymbols and most of the bass is overpowered by the bass guitar and bass drum. Mids on a guitar occupy a small niche in the sound where they have little competition, so they cut through clearly without drowning out the rest of the band. If you want a clear solo sound, then you need to boost the mids to cut through the rest of the band.
What I would suggest before you buy any gear, is to examine the rest of the band's instruments and settings. I'm assuming you play with at least one other guitarist, so you should collaborate with him/her on this. If they set their amp, similar to how you set yours, then the mids are already very high and you'll have trouble being heard over the other guitar. If this is the case, then I suggest you reduce the mids in your 'normal' tone (on both amps) to around 5 or 6 so that when one of you cranks the mids to do some lead work, they cut through the other guitar's sound. Also make sure if the bass player uses distortion, that they don't have too much treble on it, as this will also drown out guitars.
I'm sorry if you know all this already...