Simultaneous use of email + web server

Is there any issue using the email library at the same time as a web server (and Modbus in my case). They are working on different ports, but I am wondering if there is any issue at the hardware level. I am using them under mBed, so there is a chance that multithreading may result in one being interrupted by the other. I can add a Mutex if there is an issue to prevent this, but only want to do so if necessary to avoid extra overhead. Thanks