hide the fact that an email is sent from gmail's web interface

does anyone know if you can hide or modify some of the header fields from the sent email via the gmail web interface?

such as:

X-Gmail-Original-Message-ID: xxxxxxxxxxxx@mail.gmail.com
Message-ID: xxxxxxxxxxxxx@mail.gmail.com

my idea would be to completely fake (hide the fact) that the said email is sent from the gmail web interface. the goal of that would be simple - use gmail even if the company you work for, does not allow it.

perhaps there is a gmail extension for that?