Steven Hayes' attorneys are asking a New Haven Superior Court judge to close the courtroom during arguments on whether to suppress statements Hayes allegedly made implicating himself, and on whether to not admit into evidence a list of books Hayes read in prison before the killings.
Hayes' lawyers say the books' plots are "salacious" and "criminally malevolent."
A hearing on the motions is scheduled for Tuesday.
Hayes and another man, Joshua Komisarjevsky, are charged in the killings of Jennifer Hawke-Petit and her two daughters, ages 11 and 17.
Hayes' trial is set to begin Sept. 13.