Venables will take his time to consider the offer as he manages the England team in this weeks celebrity Soccer Aid.
Ex-Boro captain Tony Mowbray fueled rumours that he could take the vacant Boro job when he turned down the job at Ipswich.
The odds on Iain Dowie have shortened after he walked out of Crystal Palace this week, but Charlton will also have designs on the Hertfordshire born Northern Irishman.