It appears they aren't going to do that. But if Trump agrees to sign a bill protecting DACA and one that gives a path towards citizenship for the DREAMers, then he might get some partial wall funding approved.
https://www.nytimes.com/2018/12/31/us/politics/government-shutdown-democrats-house.html
Dec. 31, 2018
WASHINGTON — House Democrats have agreed on a proposal to end the partial government shutdown that would extend current levels of funding for the Department of Homeland Security for several weeks but would not include money for President Trump’s border wall, according to a Democratic aide familiar with the proposal.
The plan, to be unveiled on Monday, will consist of six spending bills that include funding through the end of the fiscal year, plus a continuing resolution that extends Homeland Security funding through Feb. 8. The House is expected to vote on the package on Thursday, after the new Congress convenes with Democrats in control and Representative Nancy Pelosi of California sworn in as speaker.
While the measures are expected to pass the House, there is no guarantee the shutdown will soon end given the Senate is still firmly controlled by Republicans. Mr. Trump has stuck to his demand for wall funding, a position that would require Senator Mitch McConnell, the Republican leader, to break with Mr. Trump and bring the House plan for a vote. Mr. McConnell has already said he would not bring up a measure that does not have the president’s support.
“It’s simple,” said Don Stewart, a spokesman for Mr. McConnell. “The Senate is not going to send something to the president that he won’t sign.”
Ms. Pelosi, meanwhile, has asserted that Democrats will not cave on the issue of wall funding.
“He’s not going to get a wall,” she said in a recent interview. “But he has to recognize, we are the first branch, Article 1, the legislative branch, and we’re here not as a rubber stamp to the executive branch but are coequal to him.”