No they don’t.

Via The Hill:

Sen. Harry Reid (D-Nev.) congratulated Sen. Mitch McConnell (R-Ky.) shortly before midnight Tuesday on becoming the next majority leader of the Senate after Republicans clinched control with victories in Iowa and North Carolina.

“I’d like to congratulate Sen. McConnell, who will be the new Senate majority leader. The message from voters is clear: they want us to work together. I look forward to working with Sen. McConnell to get things done for the middle class,” Reid said in a statement.

The Senate Republican Conference will convene next week to elect McConnell as majority leader but the vote is considered a mere formality. McConnell has wide support among GOP colleagues even though Sen. Ted Cruz (R-Texas), his chief critic, on Tuesday again declined to say whether he would vote for him.