Senate Democratic leaders predicted Thursday that Supreme Court nominee Sonia Sotomayor will easily win confirmation with Republican support.

“I think there will be a vote with Republicans. How many I don’t know, but I think there will be some Republicans,— Majority Leader Harry Reid (D-Nev.) predicted, adding that he wants a floor vote on the nominee “as quickly as possible.—

“A number of Republicans came over to me after the first day and second day and said, Wow, she is good,’— Conference Vice Chairman Charles Schumer (D-N.Y.) added. “I think she will get a good number of Republican votes.—

Sotomayor, President Barack Obama’s choice to fill the seat being vacated by retired Justice David Souter, has enjoyed a relatively smooth week of hearings before the Judiciary Committee that has included only a handful of terse exchanges with GOP Members.

Even Sen. Lindsey Graham (R-S.C.), who took Sotomayor to task earlier this week on her temperament, past statements and positions, said she has shown an ability to separate her work as a judge from her own political beliefs. And ranking member Jeff Sessions (R-Ala.) said Thursday that Republicans aren’t planning to filibuster her nomination.

The Judiciary Committee is expected to wrap up confirmation hearings this week and could hold a vote on Sotomayor’s nomination as early as Tuesday.