Hydrogen hydrate is a non-stoichiometric inclusion compound encaging H2 molecules in a framework of hydrogen bonded water molecules. It has attracted considerable attention over the past decade both for its geophysical relevancy and its possible application for hydrogen storage. However, little is known on the guest molecule diffusion dynamics in the different high-pressure phases. This knowledge could significantly improve our understanding of the formation and destabilization mechanisms.In a recent QENS experiment on IN6 we observed the clear signature of diffusion dynamics in a partially deuterated (D2O:H2) hydrogen hydrate sample and investigated its pressure dependence up to approximately 30 kbar using the Paris-Edinburgh high-pressure apparatus. Here we propose to systematically study the temperature and pressure dependences of this motion by means of QENS on a much larger volume sample contained in a standard pressure cell working in the 1-5 kbar range.