CHICAGO  — The man convicted in the shooting deaths of Oscar winner Jennifer Hudson’s mother, brother and 7-year-old nephew is scheduled to return to court.

William Balfour’s attorneys are expected to ask the judge to grant Balfour a new trial at a hearing scheduled for Tuesday. If that request is denied, Judge Charles Burns may sentence Balfour.

A jury convicted Balfour of first-degree murder in May in the 2008 slayings. He faces a maximum sentence of life in prison.

Balfour was married to Hudson’s sister. During the trial, prosecutors argued that he shot his wife’s relatives in a jealous rage because she was dating another man.