Llorente endured continued frustrations with injuries after joining Leeds from Real Sociedad for £18m in the summer but the 27-year-old has now come through three full matches in succession.
The centre-back only played the full duration of a Whites game for the first time in last month's 3-0 win at home to Southampton but back to back losses at home to Aston Villa and away at West Ham have followed.
Defeat at the London Stadium saw Leeds concede their 13th goal of the season from a set piece and United's defending was analysed by former Liverpool star Jamie Carragher on Sky Sports but Llorente took to social media in resilient mood.
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"Each new level of your life will demand a better version of yourself," said Llorente.
"Keep working and improving until you get the reward of victory."
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Thank you Laura Collins