I agree with youAddicted2SVU.
I love the idea of EO and want them together, but I want it to be done in a way that doesn't hurt what the show already has. And if they just fall into bed with no forethought or discussion, that's what would happen. It wouldn't make sense for the characters, and would just not work for the show.
It's something that really needs to be eased into, and also needs to be just a slight undertone to the show. As much as it shocks EO shippers, most people don't actually watch the show because they care about the characters' personal lives. If they let their relationship (Potential Relationship if you prefer) become a big focal point for the show that would turn a lot of people off. Although I'd love to see something along the lines of Olivia getting a phone call at home in the middle of the night that she has to leave, there's a new case; she rolls over and wakes up Elliot. "We have to go," just as his phone rings with the same message.
See? Subtle, simple...but still gets the point across.
Anyways, there's always fanfic if you want to see EO going at it like bunnies 