The Chicago jury will be back in court when testimony begins on April 23. William Balfour is charged with killing Hudson's mother, Darnell Donerson, 57; brother Jason Hudson, 29; and 7-year-old nephew Julian King in Chicago in October 2008.
Jennifer Hudson was not in Chicago when her family members were killed. The Academy-Award winning actress' name came up frequently during jury questioning.
Most potential jurors insisted that despite what they knew about Hudson or had heard about the case, they could assess Balfour's guilt or innocence strictly according to evidence presented in court. Others were not deemed as impartial.
During juror questioning Tuesday, Balfour, 30, sat unsmiling and slumping in his chair. But he kept his eyes fixed on each would-be juror as they sat a few feet across a table to answer questions.
Hudson is expected to be in the courtroom every day when the trial starts and could testify.
The Associated Press contributed to this report.