The Sunday event reported by the unidentified source comes despite a lack of confirmation by Hudson, 27, and her fiance, reality TV star David Otunga, that she is pregnant. The singer's publicist, whose identity was not reported, denied the rumors in April.
The reports came after Hudson postponed recent concert tour dates claiming vocal cord strain. She also was seen at public appearances wearing tops with loose waists.
If the baby shower report is accurate, the event would have been a welcome Chicago change for Hudson. The Sun-Times said the "Dreamgirls" star left Chicago in the wake of the 2008 killings of her mother, Darnell Donerson; her brother, Jason; and her 7-year-old nephew, Julian King.