Rivera's attorney wants the evidence hearing closed to limit publicity and ensure a fair trial. The hearing will concern whether statements, confessions and other evidence will be allowed at the trial expected later this year.
The 20-year-old Rivera, along with suspects Charles Wardlow, Jason Scott Mitchell and Timmy Lee Brown, have all pleaded not guilty.
Venjah Hunt, who allegedly drove the group to Taylor's home, pleaded guilty in 2008.
Taylor, who starred at the University of Miami, became an All-Pro NFLer with the Washington Redskins.