The Villans are currently looking for a replacement for Remi Garde.
The Villains sacked Remi Garde this week after a dismal stint in charge at the club. He is their second managerial casualty of the campaign, following the sacking of Tim Sherwood back in November.
With relegation to the Championship looking like a certainty, their next managerial appointment is set to be a crucial one for their future.
David Moyes is reportedly among those being linked and Lawrenson believes the former Everton and Manchester United man would listen - but needs reassurances.
"I think David Moyes would listen to an offer but I have to look at the games in the Championship,” he told BBC Sport.
“They could go down with what they have or what they haven't got. You would need unbelievable assurances from those running the club.”
“My question is: why didn't they buy anyone in January?"
Who Villa appoint as their next manager will certainly be an interesting decision to witness given they will be playing in the Championship next season.
That is a tough division to play in, as a number of former Premier League sides have discovered to their cost, and the Villans need a man who knows his way around the division.
In that regard, Nigel Pearson should surely be among their top candidates given the fashion in which he guided Leicester City from the Championship in 2013/14.