However, not all of that fee would be bound for the Villa Park coffers, the Crewe Chronicle reports.
Is is claimed that when Villa acquired the 26-year-old in 2012, they agreed to pay selling club Crewe Alexandra 20 per cent of any profit made on his reported £1 million transfer.
Ashley Westwood was captain of Crewe Alexandra
And if Westwood were to depart for £6 million, the League Two side would be due one sixth of that - taking the total cost of the original transfer to around the £2 million mark.
The player's move is far from guaranteed, though, with the Chronicle reporting that Burnley will struggle to match his £40,000-a-week wages.
Joey Barton has signed for Rangers
According to the South London Press, Clarets boss Sean Dyche will make Charlton Athletic winger Johan Berg Gudmundsson his first recruit of the close-season.
Iceland's Johann Berg Gudmundsson is said to be Burnley bound