The 'Rolling in the Deep' singer was personally asked by the fashion house's Chief Creative Officer Christopher Bailey to create a "bespoke" line of products, according to Vogue.
Neither Burberry nor Adele's team have commented on the rumours so far.
The 21 songstress was this week confirmed to have recorded the theme for new James Bond movie Skyfall.
Adele is currently pregnant with her and boyfriend Simon Konecki's first child and is expected to give birth this month.
It has been claimed that Adele's third studio album will be "lighter" and reference her excitement about becoming a new mother.