The court issued its verdict in July, also ordering the 52-year-old to pay damages of 96,900 kronor ($13,800) to his wife, who is 20 years his junior.
At the time, the prosecutor Jakob Holmberg said the man deserved a harsher sentence. The prosecution had argued he should spend eight years in prison.
The convicted attacker has now filed an appeal to the Supreme Court (Högsta Domstolen), asking that his sentence be shortened.
The 52-year-old professor, who is a respected cancer researcher connected to the Karolinska Institute north of Stockholm, attacked his wife in May at their home south of the city.
In a fit of jealousy over suspicions that his wife was seeing another man, the academic straddled her while she was sleeping and cut off her lower lip with a scalpel.
He then ate it.
"I'm going make sure you can never kiss again. I'll get four years in prison, you'll get a life sentence," he told his wife during the attack, according to statements given to the police.