Blackburn are just one point above the relegation zone, and some critics had been doubting Souness' capabilities.
While Williams realises the dangers of relegation for the club, he knows what a supreme leader Souness is for the club.
"If this club gets relegated in the post-Jack Walker era we fear it would be extremely difficult to get back. But I'd like Graeme to stay for as long as he wants to stay." stated Williams.
Souness has the task of beating Aston Villa on Saturday, after the midlands' club win over Chelsea last night in the Carling Cup.