Well, you sort of will, though, paradoxically. I mean, the way you pronounce "ich" and "-ig" is an accent - likely to be called "the standard German" - and it'll be heavily overshadowed by your foreign, English accent, but still... Okay, I've had an inclination to look into this topic a little more, and apparently when you're a student, picking up any pronunciation other than the one repsented by the official German dictionary Duden, would be considered wrong by many native speakers (pedants, as far as I'm concerned)... So maybe you won't be learning an "accent" after all.