@iangilman My native image is quite big ( more than 3go TiFF image ).
Anyway I followed your advice and made a DZI with Libvips. With this, everything works great.
But generating bigtiff images from Gis software (QGIS - Gdal library ) will not be the best way to process,especially for larger projects.
So I'm still interseted If someone has a solution for this TMS support...