The rise has been 3 mm a year (1/8 inch) since 1990 or about 4 inches.
This has been averaging millions of measurements of satellite altimeter over oceans. That is considered more accurate than tidal gauges which are subject to local changes such subsidence near river mouths.
The 3 mm is a combination of land glacier melt and water thermal expansions. I have heard talks all over the map as to which factor is more dominant.
So 4-5 mm a year in the near future is not too off.