Wenzel and Schröter found an average sea level rise of +1.8 mm/yr for this interval, and up to +6 mm/yr in the western Pacific and Indian Ocean. To determine global acceleration they fit a parabola to the data; the global acceleration was positive but not statistically significant (the error was about twice the acceleration's value of +0.0042 mm/yr2), with some local values around -0.1 mm/yr2 in the Indian Ocean to +0.1 mm/yr2 in the western tropical Pacific.
Another paper finds that sea level is rising 1.5 mm/yr due to ocean mass addition (that is, melting of land ice) for 1996–2006, and finds no recent acceleration, saying their results suggest
"...the global trend rate from 1996 to 2006 versus 2003 to 2013 has not changed significantly, or at least not outside our error estimates."A few weeks ago I looked at Aviso's satellite sea level data, which covers 1993-present, and found a negative acceleration of -0.012 ± 0.010 mm/yr2. It was once positive (though barely 20 years long), but got clobbered by the generally La Nina conditions since the mid-2000s. But the acceleration is increasing (becoming less negative), and will probably turn positive in the next 1-2 years: