Based on the latest notice from House Majority Whip Steve Scalise (R-LA) that there are no anticipated votes in the House this week, it seems that the shutdown will drag on until the Democrats take control of the chamber.
From a Washington Post reporter:
An acknowledgement of what was becoming clear: Barring a miracle, this shutdown won’t end until Dems take over the House pic.twitter.com/Bf10JN7F9z
— Erica Werner (@ericawerner) December 27, 2018