Levelling compound over tiles before laying vinyl

[BarrySingh]

We have a tiled conservatory and the grout between the tiles is slighty below tile level. A carpet installer said if we wanted thinner vinyl we should put down a leveling compund over the whole floor to cover the grouting indents as eventually they would show through. The grout is around 1mm below tile level. Is this the best approach?

 

[Wayners]

Self leveling compound then vinyl flooring.
Tiles will be gone though. You won't be able to remove self leveling compound

 

[BarrySingh]

Ty the tiles are mostly in good nick - a couple with hairline cracks. As ever like for like replacements impossible to find. We were interested in vinyl for a bit of warmth so maybe an underlay would be a better option?