Fiona Onasanya continues in her role as MP for Peterborough despite being given a three-month prison sentence last month.
The 35-year-old solicitor, an Independent after being expelled by the Labour Party, was found guilty of perverting the course of justice by claiming someone else was driving her car on July 24 2017.
Her brother Festus Onasanya received 10 months in prison after he pleaded guilty to three similar offences.
Commons Speaker John Bercow said he had received a letter confirming the sentence from the manager of the Central Criminal Court.
He also told MPs: “I have also received a letter from the Registrar of Criminal Appeals informing me that Fiona Onasanya has submitted an appeal against her conviction, which is listed for hearing on 5th March.”
Parliamentary rules require the removal of an MP who is jailed for 12 months or more.
A lesser sentence can result in a recall petition, which can force a by-election if it is signed by more than 10% of the electorate in the constituency.