Report: Jennifer Aniston & Justin Theroux NOT Engaged

Jennifer was also spotted wearing the left handed ring during a dinner date with Justin on June 13th in Paris, but a source tells PEOPLE, "it's the same ring she has worn forever on her right hand".

In fact, the 43-year-old actress frequently wears the gold band that spells her name on her left ring finger and has supposedly had the ring since she started dating Theroux, and also has a diamond ring which she wears on her right hand.

Check out all the pictures of Jennifer and Justin making their way through the LAX airport after arriving home from their romantic European vacation.