"By Sunday evening, more than half an inch of rain had fallen at Sea-Tac, making November's total 15.20 inches, less than a quarter inch away from the 15.33 record set in downtown Seattle in 1933"
Unfortunately, the weather forecast is for mostly dry weather until Thursday.
To compound to the difficulties of breaking the record, check out this juicy tidbit from Answers.com
"Rain gauges only indicate rainfall in a localized area. An extreme example of this is the annual rainfall in Seattle: the official weather station for the city is at Seattle-Tacoma International Airport, the driest part of the city, and the gauge itself was placed, by chance, at the driest part of the airport. Actual annual rainfall for the city is around 254 mm (10 in) greater than the official records indicate."