I Decided to look it up this what i found not sure if its true but it says they quoting Kirkman on the bites and turning into a zombie.
Robert Kirkman wrote:
The rule is: WHATEVER it is that causes the zombies, is something everyone already has. If you stub your toe, get an infection and die, you turn into a zombie, UNLESS your brain is damaged. If someone shoots you in the head and you die, you're dead. A zombie bite kills you because of infection, or blood loss, not because of the zombie "virus."
So if Lee does not get a fever or have lots of blood loss he wont become a zombie.