Can ball pythons safely climb branches thinner then them?

[Armiyana]

it's thinner then my snake will most likely be when he's growing up (he's male).
At 200 grams now I am not worried, but when he grows bigger I was thinking what if he could fall of the branches when he's too big.

Be careful what you say now....because this is my largest ball python, weighing in at almost 6 pounds.
My male BP, who has been this large since he was around 4 or 5 years old I honestly can't remember. He's always been big.