He made his comeback in early January against Newcastle United but lasted for just 10 minutes before picking up a fresh hamstring problem.
He has since overcome his injury troubles and has started the last seven league games for the Yorkshire outfit, where they have been on the winning side on four occasions.
It is now reported that manager Marcelo Bielsa and the backroom staff have been impressed with Llorente and plan to build their backline around him.
Llorente has established himself as a regular starter since his recovery from a hamstring injury which exhibits the manager’s confidence in his ability.
He has proved his worth with a few standout displays, and one of those came against Manchester City on Saturday, where Leeds secured a stunning 2-1 win with 10 men.
The Spain international managed one tackle, two interceptions, six clearances and blocked five shots from the runaway league leaders.
Bielsa has reverted to a two-man central defence in recent months. Liam Cooper, Pascal Struijk, Luke Ayling and Robin Koch have all partnered Llorente.
It remains to be seen whether the club pursues another high-profile centre-back to play alongside Llorente to make the push for European football next term.
Stats from Transfermarkt.com and Whoscored.com