HDMI to DisplayPort adapter 120 Hz possible?

I wanted to use 120 Hz with my new Xbox, but this is only possible with my monitor via DVI and DisplayPort. Could I use this adapter to connect the Xbox via DVI and would the 120 Hz be possible?

KabelDirekt - HDMI DVI Adapter (High Speed HDMI - DVI Adapter, Full HD 1080p) - TOP Series https://www.amazon.de/...01C7AW1WA/

I don't think this will work with a console

The Xbox and Ps can't use the DisplayPort protocol

Dvi could possibly work but consider the DVI does not transmit sound