In the last episode of the show, Drew's character April agreed to go out on a date with Dr. Stark (Peter MacNicol).
Speaking to Entertainment Weekly, Drew explained that the next instalment of the show will pick up the story a month later.
"In the next episode, we've been on several dates at that point," she said. "She sees a side to him that he doesn't show to anyone else at the hospital, and she finds that part endearing. I think they enjoy the companionship."
Drew hinted that some of the other doctors will be unhappy about the relationship, saying: "You get an insight into what's going on in the next episode. It's funny and a little sad and sweet. But we've never done anything like this on Grey's Anatomy."
However, Drew admitted that she doesn't expect April to lose her virginity just yet.
"The latest I've heard from the writing room is that she's going to hold on to it for some time," she said. "I think they're really planning to take care of that and make it really beautiful and really sweet and develop that story."
Grey's Anatomy returns later this month on ABC.