He lodged a notice of intention to appeal with the NSW Court of Criminal Appeal one day after his sentencing.
Sampieri must outline his case for appeal by August 13.
His lawyer, Penny Musgrave, confirmed to AAP on Wednesday that Sampieri had lodged the notice of his intention to appeal, which gives him six months to decide whether he will go ahead with it.
Sampieri, who was on parole at the time for an earlier rape in Wollongong, was high on ice during the attack on the child.
Acting Judge Paul Conlon in sentencing said the attack could "only be described as any parent's worst nightmare".
He said it would have been terrifying and the girl would have held "grave fears" for her life.
The judge described mechanic Nick Gilio as brave for confronting the knife- wielding Sampieri after he found the girl in the toilets.
Mr Gilio suffered several large cuts during the confrontation, including a 14cm wound to the back of his head and cuts to his neck and abdomen.