The four Democrats involved in a bipartisan Senate effort to overhaul the nation’s immigration system will huddle with President Obama on Wednesday to brief him on the group’s progress.

An aide confirmed the Wednesday meeting, which will take place at the White House. Administration officials have so far had only limited interaction with the Senate effort. Senators involved in the group have said the White House was aware of Senate talks but did not take part in negotiations over a statement of principles, released as the group’s first major public push last month.