I'd say "right away" means some time during the first semester for a pretty big number.
In the first few weeks, their ties with whitebois back home or at a different college are still strong, but that's when black boys start making their move -- and these white girls definitely notice. Once the football games, parties, and fall activities kick in, the "Intro to Black Boys" has begun and many of these girls can't go back.
By the time Thanksgiving rolls around, the fucking has begun, whether it's random partying or with a black bf. I love it that so many pretty and fine white girls go black. Just fucking amazing.