Katie Price avoided a jail term for drink-driving following a crash near her home earlier this year.
Now police are considering an appeal against the sentence given to the former model.
The 43-year-old was handed a 16-week suspended sentence at Crawley Magistrates' Court, on Wednesday, December 15, for the driving offence while being disqualified and not having insurance.
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District Judge Amanda Kelly told Price she was unable to send her to prison because she had complied with requirements of the court including attending a rehabilitation centre and not to commit further offences.
However, superintendent James Collis, head of roads policing for Sussex Police and Surrey Police, said she is 'extremely lucky' not to be behind bars for Christmas.
He said that his officers are now looking into whether her suspended sentence could be subject to appeal.
Collis said: "As the judge explained, could have and should have been much worse and, in our view, Price is extremely lucky not to be spending Christmas behind bars.
"Given the circumstances and her history of motoring offences, it's clear she did not consider the risk of her actions to the wider public or the implications for her own family.
"We are now exploring whether we can appeal this sentence."
Price had been visiting a friend nearby when the crash happened, at around 6.20am on September 28, near Patridge Green.
The car she was driving had flipped on to its left side, first responders found Price slumped in the passenger seat. He pulled her out of the window.
Police arrived shortly afterwards and she admitted she should not have been driving, the court heard.
Price admitted the offences in a hearing at the same court on September 29.
At that hearing, her sentencing was adjourned on the condition that she have treatment at the Priory Centre, not commit any further offences, and be banned from driving in the interim.
Price was given a 16-week jail sentence suspended for 12 months, a two-year driving ban, 100 hours unpaid work, 20 sessions of rehabilitation work with probation, and was ordered to pay £213.
District Judge Kelly told the court that Price already owed £7,358 in relation to previous offences.
