The killing of the 16-month-old girl was described as ‘shocking' and ‘unbelievable' by Gillian Keegan.
Star's mother, 20-year-old Frankie Smith, was beaten to death by bouncer Savannah Brockhill, 28.
The case follows the murder of Arthur Labinjo-Hughes, whose killers' sentences are being challenged by Attorney General Suella Braverman.
Smith, who was found guilty of causing or permitting her daughter's death, might be released in four years.
Brockhill was sentenced to life in prison for murder.
Mme Keegan, the Health Minister, told LBC that the Attorney General could refer the case to the Court of Appeal.
‘It (Smith's eight-year sentence) doesn't sound adequate,' she remarked.
‘It's a horrific case — it's unbelievable.
‘And poor Arthur as well.
‘Obviously the court and jury recently sentenced, but I suppose the Attorney General also has that power.'
‘It's not my remit, but it is the Attorney General's, so I'm sure she will be having those conversations.'
‘We have received a request for these sentences to be evaluated under the unreasonably lenient sentencing (ULS) scheme.'
The matter must be decided within 28 days following sentencing.'
Star's murder and the months of abuse and psychological anguish she endured have sparked national indignation, as has Arthur's.
Emma Tustin, Arthur's stepmother, was sentenced to life in prison with a minimum of 29 years for the murder of the Solihull six-year-old on Friday at Coventry Crown Court.
The youngster's father, Thomas Hughes, 29, was sentenced to 21 years in prison for manslaughter.
Since her death, five separate family members and acquaintances have raised concerns about Star, including her great-grandfather, David Fawcett.
Grandpa Frank Smith called the sentence ‘staggeringly gentle'.
‘Is that all Star's life is worth? Frankie will be out in four years.
‘She saw her baby die. Deception was her and Brockhill's goal. They both belong in prison. It stinks.'
Mrs Justice Lambert, sentencing Brockhill and Smith on Wednesday, complimented Mr Fawcett and other family members for their support of Star.
‘You murdered her, Savannah Brockhill. Frankie Smith, as her mother, you had to guard Star.'
Mrs Lambert claims Star's "fatal punch or kick" caused her to lose half her blood and injure her internal organs.
‘The level of power required to inflict these injuries must have been immense,' she said.
You both know what set off that fatal assault.
‘The horrific attack that killed Star was not an isolated event.'
Star had two brain injuries, many rib fractures, a limb fracture and refracture, and a skull fracture.