Illustrator :: JPEG Export - Need Browser-independent Colors

Let me explain my situation: I have a website where I publish my Illustrator documents as exported JPEG files. The website has a certain RGB-color background. And my illustrations have the same RGB-color background. Those two backgrounds have to match perfectly, in order to produce a nice effect. They do match in Firefox 14, but they don't match in Safari 6.
 
So, I need my exported JPEG files to have browser-independant colors. I read everything I found on the Internet on this topic, but it's just general stuff about Color profiles and the Edit > Colors... menu and color differences between browsers. NOT A SINGLE TUTORIAL on the whole Internet on how to produce browser-independant JPEG files using Adobe software.
 
Currently, I am exporting my Illustrator documents using an AppleScript, in order to save time:
 
Export docRef to file (myPath) as JPEG with options {quality:60, optimization:true, antialiasing:true, artboard clipping:true, saving as HTML:false}
 
But you don't have to give me an AppleScript necessarily. Just give step-by-step instructions on how to do this in Illustrator, and I will automate it myself. I know that PNGs are browser-independant, but I would prefer JPEGs, because the size is smaller.