A three-week hearing was scheduled to take place next month after High Court judges ruled the first inquest in October 2014 was "irregular" after it lasted just seven minutes and called no evidence.
However the hearing in Kendal, Cumbria, is on hold as the CPS again looks at the circumstances of the toddler's death at her home in Barrow-in-Furness in December 2012.
A judge in the family courts earlier this year ruled that Poppi's father, Paul Worthington, 48, probably sexually assaulted Poppi before her sudden death. Mr Worthington denies any wrongdoing.
Mr Worthington was originally arrested on suspicion of sexual assault in August 2013 but no action was taken against him.
The CPS reviewed that decision in the wake of the family court judgment but in July it concluded there was there again insufficient evidence to provide a realistic prospect of conviction.
On Friday, David Roberts, HM senior coroner for Cumbria, announced the suspension of the scheduled inquest on October 10.
He said he was advised on September 20 that the CPS was to carry out a fresh review of the evidence, and a day later was asked to stop his own investigation.
There was an acknowledgement that there are families who share similar histories and presentations as [Poppi] - multiple births, children’s social care involvement with several generations of the same family - and that this is normalised in some communities and amongst some professionalsSerious Case Review report
He said such a suspension was mandatory when a prosecuting authority requests it "on the ground that a person may be charged with a homicide offence involving the death of the deceased...".
Adjourning the hearing to a date to be fixed, Mr Roberts said his inquiries would be suspended until November 30 "having been advised that the review should be completed in about 56 days".
Poppi was rushed to hospital after she collapsed at home on December 12 2012.
A post-mortem examination found she had a fracture to her right leg and suspected acute injuries to her anus.
Her death had been shrouded in secrecy, with a 2014 fact-finding civil court judgment by Mr Justice Peter Jackson being kept private so as not to prejudice any criminal proceedings.
Cumbria Police conducted no real investigation for nine months as senior detectives thought a pathologist who examined Poppi's body "may have jumped to conclusions" that the girl had been abused, concluded Mr Justice Jackson.
A list of basic errors in evidence-gathering by detectives was also highlighted, which Cumbria Police later apologised for.
In January this year during care proceedings in relation to other children in the family, the full damning judgment was finally made public, prompting heavy criticism of Cumbria Police and Cumbria County Council and calls for a public inquiry.
The judge concluded that Mr Worthington had, on the balance of probabilities, abused his daughter shortly before her death.
An Independent Police Complaints Commission report into Cumbria Police's handling of the investigation is still to be published.
At a preliminary hearing in July for the fresh inquest, lawyers for Mr Worthington argued he should be allowed to give evidence via videolink because of death threats he had received.
Leslie Thomas QC, representing Mr Worthington, said the evidence relied upon by Mr Justice Jackson in finding a sexual assault took place by his client would be "hotly and robustly challenged".
A CPS spokesman said: “On 19 September the CPS Appeals and Review Unit received a request under the Victims’ Right to Review Scheme in relation to the death of Poppi Worthington.
"The case material will be considered and the review will be completed as soon as possible.”