The meeting will take place at the Obama transition headquarters.
"It's well known that they share an important belief that Americans want and deserve a more effective and efficient government, and will discuss ways to work together to make that a reality," Obama transition spokesman Nick Shapiro said in a statement Sunday.
Meanwhile, the man who steered Obama's Senate office will now move over to the White House with the incoming president.
Before joining Obama in December 2004, Rouse was chief of staff for 19 years to former Senate Democratic Leader Tom Daschle of South Dakota. Prior to that he was chief of staff to then-Rep. Dick Durbin of Illinois.
The Obama transition team also announced that Mona Sutphen will serve as a deputy chief of staff.
Sutphen is a member of the transition team staff and has been managing director of Stonebridge International LLC, an international strategic consulting firm based in Washington.
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Jim Messina was also named a deputy chief of staff. Messina is currently the director of personnel for the president-elect's transition team. He served as a national chief of staff for Obama's presidential campaign. Watch more on the Obama transition picks »
President-elect Obama, in a statement released by the transition team, said, "These individuals are important additions to a team with the experience and ability to help our nation overcome pressing challenges at home and around the world."
Also, a longtime friend of the Obamas was officially named Saturday as a senior adviser to the incoming president.
Obama, in a statement released Saturday morning by his transition staff, announced that Valerie Jarrett will serve as senior adviser and assistant to the president for intergovernmental relations and public liaison. CNN Contributor Roland Martin reported the offer to Jarrett on Friday evening.
Jarrett is currently co-chair of Obama's transition team and was senior adviser for his presidential campaign. She became the president and CEO of The Habitat Company in 2007 and was also the company's vice president. The Habitat Company develops and manages residential apartments and condominiums.
Before joining The Habitat Company, Jarrett served for eight years in government for the city of Chicago, first as deputy corporation counsel for finance and development, then as deputy chief of staff for Mayor Richard M. Daley, and finally as commissioner of the Department of Planning and Development.
Also Saturday, a Democratic source told CNN that prominent Washington lawyer Greg Craig will be named White House counsel for the Obama administration. The source added that it is unclear when the appointment will be made public.
Craig first gained prominence representing President Clinton in his Senate impeachment trial, but he endorsed Obama over Sen. Hillary Clinton in the Democratic primaries and later played a key role in Obama's vice-presidential vetting process.
CNN reported Friday that three officials close to the presidential transition said Craig was under strong consideration to be named as the incoming president's top lawyer.
One of those officials said Craig was "highly regarded" and trusted for his discretion by Obama.
The transition team also made official Saturday the hiring of Ron Klain as chief of staff to the vice president.
Klain was also chief of staff to Vice President Al Gore, but he's no stranger to Vice President-elect Joe Biden, having served as chief counsel to the Senate Judiciary Committee when Biden was the committee chairman.
This year, Klain helped with debate preparation for both Obama and Biden.
"Ron Klain has been a trusted adviser of mine for over 20 years," a statement from Biden said Saturday. "He brings extraordinary judgment, a deep understanding of the important policy issues facing our nation, a wide range of experience in the executive, legislative and judicial branches of government, as well as a unique understanding of how the vice president's office works."
The transition team also announced Saturday that Phil Schiliro will serve as assistant to the president for legislative affairs. Schiliro is director of congressional relations for the Obama transition team. Before that, he was a senior adviser to Obama's presidential campaign.
Schiliro has worked in Congress for more than 25 years, in positions including chief of staff to Rep. Henry Waxman, D-California, policy director for then-Senate Democratic Leader Tom Daschle of South Dakota, and staff director for the Senate Democratic Leadership Committee.