The WP article says that they should get 70 votes for ratification.
"I would say to you that in today's Washington, in today's Senate, 70 votes is yesterday's 95," Kerry said to laughter. "I feel pretty good about where we've gotten to, and we're going to continue, obviously, to have a robust debate and we look forward to the Senate doing what it does best, which is a really important, thoughtful debate about our national security concerns."
Kerry said that he and Lugar were "extraordinarily encouraged and gratified" by Tuesday's bipartisan vote. Eleven Republican senators voted in favor of ending debate, including Sens. Lugar, Lamar Alexander (Tenn.), Bob Bennett (Utah), Scott Brown (Mass.), Thad Cochran (Miss.), Susan Collins (Maine), Bob Corker (Tenn.), Johnny Isakson (Ga.), Lisa Murkowski (Alaska), Olympia Snowe (Maine) and George Voinovich (Ohio).
http://voices.washingtonpost.com/44/2010/12/kerry-start-likely-to-get-as-m.html
Today’s bipartisan vote clears a significant hurdle in the Senate. We are on the brink of writing the next chapter in the 40-year history of wrestling with the threat of nuclear weapons," Kerry said in a statement after the vote. "We’ve spent months building toward this moment. In these final hours of debate, Sen. Lugar and I are joined by so many senators who understand the significance of this moment. Together, we will do our very best to convince those who remain undecided that ratifying New START is the right step for our national security."
http://thehill.com/homenews/senate/134707-senate-votes-to-end-debate-on-start(Good articles in discussing what is happening now. What is clear is that this will pass tomorrow.)