We don't need to melt them to raise the sea level. All that ice floating around does just as well.

We have had around 1.7 mm per year for the 20th century.

Global average sea level rose at an average rate of around 1.8 mm per year over 1961 to 2003 and at an average rate of about 3.1 mm per year from 1993 to 2003.

That seems pretty slow to me.

It is true that the record - at the peak of the last glacial retreat - was some 65mm / year - but there was a lot more ice all over Russia and Canada back then - and we are unlikely to see anything like that with today's much-smaller ice caps.