However, Llorente is adamant Valencia will not consider selling Silva and is waiting for the transfer window to close to end rumours over his future.
"The club is not interested in selling this player," Llorente told the local Valencia press.
"We have not received any formal offers and it is not in our plans to consider David's exit.
"There is still one month left until the transfer window closes, but our decision on this subject will not change."
Silva is also untroubled by the speculation surrounding his situation at the Mestalla and is happy to stay with the Primera Liga club.
"Now, I view my future very calmly," said Silva. "I am happy in Valencia and I would really prefer to concentrate on my work. These questions are for my agents."