The name Mimi is like the word mami in Hebrew meaning sweet. The reason it means sweet is because it comes from the Hebrew word Marar which is the sweet herb eaten at a Passov … er seder. Some claim the name Mimi also means bitter.Mimi also means 'baby' in Chez.he name Mimi is like the word mami in Hebrew meaning sweet. The reason it means sweet is because it comes from the Hebrew word Marar which is the sweet herb eaten at a Passov … er seder. Some claim the name Mimi also means bitter. Mimi also means 'baby' in Chez.