Connelly was jailed indefinitely and told she would serve at least five years
Baby P's mother Tracey Connelly, who was jailed indefinitely for her part in her son's death, has dropped a bid to appeal against her sentence.
Peter Connelly died aged 17 months in Haringey, north London, in August 2007.
Connelly, 28, and partner Steven Barker were told they would serve minimum jail terms of five and 12 years. His brother Jason Owen was jailed for three years.
All three were initially refused leave to appeal against their sentences in September.
But the trio, who were all convicted of causing or allowing the boy's death, were allowed to renew their applications to appeal.
Connelly, of Penshurst Road in Tottenham, north London, had been expected to have an appeal application heard by senior judges in the Court of Appeal on Tuesday.
Owen, 37, who had been staying at her home with his 15-year-old girlfriend, is expected to go ahead with his sentence appeal application.
Baby Peter had more than 50 injuries when he was found dead
Barker, 33, is due to have an appeal against a conviction for raping a two-year-old girl in a separate case heard by the Court of Appeal on 24 November.
He was given a life sentence for that offence and told he would serve at least 10 years.
Peter had more than 50 injuries, including fractured ribs and a broken back, when he was found dead at home in his cot.
Connelly and Barker's names were made public in August following the expiry of an anonymity order.
A judge had previously ordered none of the defendants could be named because other children were still being placed with alternative carers.
Due to publicity surrounding the case, it is thought all three individuals convicted are likely to be given new identities upon release to protect them from vigilante attacks.
Critics have suggested there would be public anger if taxpayers' money was used to protect them.