Cook County Judge Charles Burns on Thursday set jury selection for April 9 in the trial of William Balfour.
Balfour is charged with first-degree murder in the October 2008 slayings of Hudson's mother, brother and nephew.
Balfour was the estranged husband of Jennifer Hudson's sister, Julia. Prosecutors allege he shot her family in a jealous rage because Julia Hudson was dating another man.
The bodies of 57-year-old Darnell Hudson and 29-year-old Jason Hudson were found in the family's home on the city's South Side. The body of 7-year-old Julian King was found days later in a sport utility vehicle on the city's West Side.
