According to the Capital Hill Weather Gang, we could see the first snow of the season later this week although it will only be a dusting.
The cold is a necessary ingredient for snow, and it appears reasonably likely that the D.C. area will see its first flakes late this week or over the weekend. But the moisture necessary for a significant snow event seems to be missing — at least in the next seven days.
Any snow we see between Thursday and the weekend is likely to result from clippers, fast-moving disturbances from the northwest limited in moisture. We may experience back-to-back such clippers late Friday and late Saturday.
Also from the Washington Post, average date of first snowfalls:
It looks like we have a better chance of snow next week, right on time for DC.