How to use Mutt as the mail transport agent used by crontab?

I am using Mutt to send emails from my server. Using the MAILTO variable to send the result of running crontab tasks is not working as it seems that it expects to find /usr/bin/mail.

This is the output of /var/log/mail.log for a crontab job:

Nov 18 12:51:01 myserver postfix/sendmail[22649]: fatal: open /etc/postfix/main.cf: No such file or directory

I would like to avoid configuring any other mail servers (postfix, sendmail, etc).

Is there any way to make crontab use Mutt to send emails?