I never did when I winter commuted. As long as you're ok with the mess en route to the basement to dry completely, go for it.
"Another school of thought is to never bring a cold bike into a warm place unless you can leave it there till it is thoroughly dry. As snow and ice melt off of the bike they run into all the wrong places and the opportunity for rust is enhances at the warmer temperatures."
http://http://www.icebike.org/Equipment/maintenance.htm