The three-month suspended sentence given to former BBC Radio 1 DJ Dave Lee Travis is to be reviewed by the attorney general's office.
The 69-year-old was sentenced on Friday after being found guilty of indecently assaulting a TV researcher on the Mrs Merton Show in 1995.
The attorney general's office said four people had complained later that day that the sentence was "unduly lenient".
It will now consider whether to refer the sentence to the court of appeal.
A spokeswoman for the attorney general's office said: "We will be asking the CPS (Crown Prosecution Service) to send us more information on this particular case so that a law officer (the attorney general or solicitor general) can decide if the sentence should be referred to the Court of Appeal."
Attorney General Jeremy Wright MP and Solicitor General Robert Buckland MP have until 24 October to decide whether or not to refer the case.
Travis, of Aylesbury, Buckinghamshire, was cleared of an alleged indecent assault from 1990, and an alleged sexual assault from 2008.
He was being retried on those two charges after jurors could not reach a verdict on them earlier this year.
Travis was cleared of 12 indecent assault charges during the earlier trial.