The Senate is likely to formally scuttle Thomas Farr’s nomination to a federal judgeship after Republicans delayed his confirmation vote when they couldn’t round up enough support in the narrowly divided chamber.

“I don’t think so,” Judiciary Chairman Charles Grassley told reporters today when asked if Majority Leader Mitch McConnell (R-Ky.) would schedule a final vote on Farr. “I think his name will be sent back to the White House at the end of the year.”

Farr’s nomination to a U.S. District Court seat in North Carolina foundered last week over his involvement in gerrymandering and other laws said to...