The €30m frontman only signed a Villa contract extension over the summer, but the 22-year-old is still on Chelsea's radar.
Jose Mourinho's first-choice remains Monaco forward Radamel Falcao, but the Colombian may prove too difficult to sign.
In that case, the report claims Chelsea will consider a move for Benteke. The Belgium international took the Premier League by storm in his debut campaign last season, and was linked with United, Chelsea and Spurs after less than 12 months in England.
His fine performances saw Villa reward him with a new four-year contract extension this summer, but only after Benteke was forced to withdraw his transfer request, although that has done little to dampen speculation.
The promise of Champions League football - on offer at United and Chelsea - and the potential to play at Spurs could rekindle Benteke's desire to move on.