Deliberations began Wednesday.
Guandique, 29, an undocumented immigrant from El Salvador, has denied he killed Levy, a Federal Bureau of Prisons intern.
Levy, 24, disappeared May 1, 2001, after she went for a walk in Rock Creek Park. At the time, Levy was involved romantically with Rep. Gary Condit, D-Calif. Levy's remains were found in the park in 2002 by a man walking his dog.
In closing arguments last week, prosecutors said the jury had "a roomful of corroboration" for the circumstantial case against Guandique, including the fact Guandique is serving time for two other attacks on women prosecutors say resemble the one that led to Levy's death and information presented as confessions Guandique allegedly made to a cellmate and comments he allegedly made to a female pen pal.
Defense attorneys had stressed the circumstantial nature of the case, including the lack of DNA evidence and witnesses, as well as the secondhand-nature of Guandique's confessions.