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Baby P died in a blood-splattered cot in Haringey, north London, in August last year. He had suffered more than 50 injuries despite repeated visits by the authorities.
The Daily Mail reported on Saturday that the mother's lawyers were set to argue that her life would be at risk if identified after her release.
As well as a new identity, she could receive 24-hour police protection.
Mr Rosindell said: "There is likely to be permanent hatred towards those people who are guilty and for that reason I would imagine, based on past precedent, that the authorities would consider some sort of protection or fresh identity for that person.
"One of the reasons [Moors Murderer] Myra Hindley was never released was because her safety outside jail could not be assured. It's a big problem, but from the public's point of view, they are not going to be very happy about a person given special treatment and lots of money spent on them when they have committed such an evil crime."
The Ministry of Justice said any suggestion of anonymity for the mother was "pure speculation". The matter would be decided by the courts at a later time. A spokesman said: "She's not even been sentenced yet and something like this usually comes towards the end of a person's sentence. It's not something that is imminent."