Chrome open selectbox set cursor to text

Do you know why Chrome sets cursor's shape into the "text" one, when over an open selectbox ? If I set the CSS to:

select {
  cursor: pointer;
}

It sets the cursor when the mouse is over the selectbox, but when you click t开发者_StackOverflow社区o open the list, it comes back to the "text" shape again.

Do you know how to change it to a pointer or something else when the selectbox is open ?

Thanks!

Mickael.

Being able to actually style the options of a select box is something supported differently by different browser. If this does not work in Chrome, it does not seem to support that.