The Manhattan federal jury was told last month that the trial might last up to six months. But prosecutors last week finished presenting their evidence that Ghailani helped construct bombs used to blow up two U.S. embassies in Africa in August 1998. The bombings killed 224 people, including a dozen Americans.
Ghailani's lawyers called no witnesses and Ghailani did not testify.
The 36-year-old Tanzanian has pleaded not guilty and maintained he did not know the attacks were going to happen. Four others already have been convicted in the bombings and are serving life sentences.