Customize or avoid new admin email address notification

Question

In a multisite network, when you change the main email address in Settings / General, Wordpress sends an email that must be confirmed by the new email recipient.

I need to avoid or customize the message that is being sent but can't figure out how.

The function responsible for sending this email is not pluggable, as show bellow:

/**
 * Sends an email when a site administrator email address is changed.
 *
 * @since 3.0.0
 *
 * @param string $old_value The old email address. Not currently used.
 * @param string $value     The new email address.
 */
function update_option_new_admin_email( $old_value, $value ) {
    if ( $value == get_option( 'admin_email' ) || !is_email( $value ) )
        return;

    $hash = md5( $value. time() .mt_rand() );
    $new_admin_email = array(
        'hash' => $hash,
        'newemail' => $value
    );
    update_option( 'adminhash', $new_admin_email );

    $email_text = __( 'Dear user,

You recently requested to have the administration email address on
your site changed.
If this is correct, please click on the following link to change it:
###ADMIN_URL###

You can safely ignore and delete this email if you do not want to
take this action.

This email has been sent to ###EMAIL###

Regards,
All at ###SITENAME###
###SITEURL###' );

This function continues and have a few filters to change some vars, but no way to customise the message itself.

Do you know any way to avoid this notification from being necessary in multisite, or at least to be able to override the message it sends?

Answer 1

It seems that my edit to your answer was declined, so here you go.

All that was missing was the $priority and $accepted_args parameters for the add_action() calls, and the the fixed code below should accomplish what you require.

remove_action( 'add_option_new_admin_email', 'update_option_new_admin_email' );
remove_action( 'update_option_new_admin_email', 'update_option_new_admin_email' );

/**
 * Disable the confirmation notices when an administrator
 * changes their email address.
 *
 * @see http://codex.wordpress.com/Function_Reference/update_option_new_admin_email
 */
function wpdocs_update_option_new_admin_email( $old_value, $value ) {

    update_option( 'admin_email', $value );
}
add_action( 'add_option_new_admin_email', 'wpdocs_update_option_new_admin_email', 10, 2 );
add_action( 'update_option_new_admin_email', 'wpdocs_update_option_new_admin_email', 10, 2 );

Answer 2

As indicated by @David Gard, this can easily be done:

<?php

remove_action( 'add_option_new_admin_email', 'update_option_new_admin_email' );
remove_action( 'update_option_new_admin_email', 'update_option_new_admin_email' );

/**
 * Disable the confirmation notices when an administrator
 * changes their email address.
 *
 * @see http://codex.wordpress.com/Function_Reference/update_option_new_admin_email
 */
function wpdocs_update_option_new_admin_email( $old_value, $value ) {

    update_option( 'admin_email', $value );
}
add_action( 'add_option_new_admin_email', 'wpdocs_update_option_new_admin_email' );
add_action( 'update_option_new_admin_email', 'wpdocs_update_option_new_admin_email' );

?>

EDIT: The Codex documentation is marked as "Needs Update" and I've confirmed it doesn't work in the current form.