Both the prosecution and defense rested their cases Thursday morning, and closing arguments concluded early in the afternoon.
Cox is accused of sexually assaulting a woman in his apartment over Labor Day weekend 2010. He was arrested after the woman realized she was pregnant and contacted police.
The woman testified Wednesday, saying she had a fuzzy memory of what happened that night and suspected she was drugged.
Prosecutor Chris Gallo in his closing argument pointed to evidence that Cox's DNA matched the fetus, and he says the woman was incapable of giving consent that night.
Cox's attorney, Harvey Steinberg, told jurors that just because she didn't remember having sex doesn't mean rape occurred.