Connect Arduino DUE with Arduino MEGA

Can I communicate arduino DUE with arduino MEGA to exchange data? I ask because DUE operates on 3,3 Volt and MEGA operates on 5 Volt. So my question is that if I use SPI between them will it work on 3,3 Volt or 5 Volt?

https://learn.sparkfun.com/tutorials/bi-directional-logic-level-converter-hookup-guide

I believe you can just stick a logic level converter in between them.