A Republican filibuster of Elena Kagan would be "an unheard of, dirty thing to do," Sen. Orrin Hatch (R-Utah) said Thursday.

Hatch, a member of the Senate Judiciary Committee, told ABC News's "Topline" today that his party won't prevent an up-or-down vote on Obama's SCOTUS nominee.

"Republicans aren't going to filibuster her," he said.

The ranking member of the committee, Sen. Jeff Sessions (R-Ala.), said last weekend that a filibuster of Kagan was "conceivable" depending on how this week's hearings went.