(CNN) - House Minority Leader Nancy Pelosi is asking Democrats to keep her in the position for the next session of Congress beginning in January, Democratic sources told CNN Wednesday.

One Democratic source close to Pelosi said she would "continue to lead a united Democratic Caucus that will play a crucial role in developing a responsible deficit reduction package – working with President Obama and our colleagues in the Senate – that protects Social Security and Medicare, the middle class and children, while asking the wealthiest Americans to pay their fair share."

CNN's Dana Bash and Deirdre Walsh contributed to this report.