Issue with "From" field in email header

When a user initiates contact via the "contact us" form, and the system sends the mail to the email address I have specified, all is fine - with one exception:
The "From" field in the email header displays the user's Name whom initiated the contact message, but displays the email address chosen on the contact form drop-down list.
I realize that this is because the system is actually sending the mail (not the user), however, it would be nice to see the user's email in the "From" field. Where and how could I make this happen? The users address does appear correctly in the "Reply-to" field.

Thank you!

If you change that your mailserver will likely treat it as spam.
That's why the reply-to address is used.

Oh, I see. OK.
However, can you explain to me how to accomplish this change just to see what would happen?
Or, is the file in question not able to be setup as a templates override?
Thanks in advance!