Tami Is A Baby Girl Name Of Hebrew Origin. A Variation Of The British Names Tammy And Tamara, Tami Means “date Palm.” These Juicy Treats Are Not Only Tasty, But They Nourish The Body With Their Antioxidants, Too. In Islam, Muslims Believe That Dates, Or tamr, can Purify Your Soul. Though Tami Is Also Associated With The Russian Name Tamara, Tami Has Become A Fruitful First and Last Name Across Asia And North America. With A Name Like Tami, Baby Will Have The Seeds For A Prosperous Tomorrow.