Winterton has been moved to the post of Regional Minister in the Business, Innovation and Skills Department.
The move comes after Work and Pensions Secretary James Purnell’s shock resignation last Thursday and the news that former Chief Secretary to the Treasury Yvette Cooper is taking on the role.
Eagle has been Exchequer Secretary to the Treasury since Brown became Prime Minister in June 2007.
Winterton was promoted to Pensions Minister from the Department of Transport in the October 2008 reshuffle, replacing Mike O’Brien.
In her new role, under Lord Mandelson, she is permitted to attend cabinet when her responsibility is on the agenda.
O’Brien, who left the DWP for the Department of Energy and Climate Change, was Pensions Minister since mid 2007.
Standard Life head of pensions policy John Lawson says: “It is disappointing that Rosie has moved on so quickly, just like many of her predecessors.
“Thankfully, there is much more stability amongst the civil servants supporting pensions policy.”