Suarez, 35, will be out of contract with Atletico Madrid at the end of this month and is looking for a new club.
Aston Villa boss Steven Gerrard has been in regular contact with his former Liverpool team-mate and wants to take him to the Midlands club this summer.
A contract offer has been prepared but Aston Villa are yet to pull the trigger on signing the veteran forward in the upcoming transfer window.
It has been claimed that Villa want to know which forwards they can move on from their squad before they sign Suarez.
The Villans are holding off on making a decision and want to understand the structure of the squad.
Gerrard is in favour of adding Suarez to his squad as he wants winners and experienced players in his team for next season.
The Aston Villa boss want to push for European places after an underwhelming end to the previous campaign.
Suarez is a player he wants but for the moment he has to wait for Aston Villa to move on a few forwards.