The retesting to determine whether Semeria Greene, 26, is fit to stand trial in the Dec. 30 slaying of her daughter, Tameria Greene, 8, is scheduled for May 29, The Detroit News reported.
It was unclear what the results of the first competency examination, ordered in January, revealed.
Greene's lawyer was denied a request that, due to medical issues, his client be moved to a hospital while she is in custody.
The child died in the family's home in the Martin Luther King Apartments, which in recent months has become infamous for its high violence rate, the News reported.
Greene, the mother of five, is accused of felony murder and child abuse in Tameria's death.
Semeria Greene was awaiting a January trial on child neglect and abuse charges when she was arrested in Tameria's killing.
The mother's rights were taken away in 2010 when police discovered her children living in squalor and alone. In October, the state Department of Human Services failed to convince the Wayne County Circuit Court to remove the five children from the mother's custody after bruises were found on Tameria, the newspaper reported.
Since then, the state and county courts have begun investigations regarding the abuse allegations, the newspaper said