The BBC suggets there will be limited changes at a Cabinet level but more wide-ranging changes among junior ministers.
The Guardian says Gordon Brown could promote housing minister Caroline Flint to replace Hilary Benn in DEFRA - with deputy leadership candidate Jon Cruddas replacing her.
Sky News is reporting that Peter Mandelson is returning to the cabinet to become Secretary of State for Business, Enterprise and Regulatory Reform (BERR), a position that had been held by John Hutton.
The BBC have also suggested that there may be some structural change to the Government.
Transport Secretary Ruth Kelly has already announced that she is to leave Government and has been followed by Trade Minister Lord Digby Jones.
The Times reports that Lord Rooker, the Farming Minister will leave his post and it has been widely suggested that the Immigration Minister Liam Byrne will be promoted into the Cabinet.
Last week, LGC reported on speculation that the Scottish, Welsh and Northern Irish offices could be merged.
It has previously been mooted that they could combine with parts of the Department for Communities & Local Government to form a new 'department for devolution'.