The Senate will turn to a potentially bruising battle over immigration, once it dispatches with its debate over the Keystone XL pipeline.

But Senate Republicans are spelling out little about their plans for handling the contentious Department of Homeland Security spending bill with only a month to go before its funding expires.

“All I can tell you right now is we’re going to the DHS bill after we finish Keystone. The procedure by which we deal with that will be determined later,” Majority Leader Mitch McConnell said.