(L-R) U.S. Sen. John McCain (R-AZ), Sen. Charles Schumer (D-NY), Sen. Marco Rubio (R-FL), Sen. Robert Menendez (D-NJ), and Senate Majority Whip Sen. Richard Durbin (D-IL) listen during a news conference on a comprehensive immigration reform framework January 28, 2013 on Capitol Hill. (Photo by Alex Wong/Getty Images)

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.

The release of the joint Senate document came a day before President Obama traveled to Las Vegas to talk about immigration, preempting the publication of Obama's own principles to guide changes. Obama has praised the Senate effort but indicated he will send legislation to Congress for consideration if their efforts do not produce action quickly.

Wednesday's White House meeting will include only the four Democrats involved in the group -- Sen. Chuck Schumer (D-N.Y.), Sen. Dick Durbin (D-Ill.), Sen. Michael Bennet (D-Colo.) and Sen. Robert Menendez (D-N.J.).