The Frenchman, who moved to North London from Lyon in the summer, has been overlooked on numerous occasions by Villas-Boas, who has favoured veteran Brad Friedel in the pecking order.
"Right now, we take what there is to take. Is it hard? Yes, a little," Lloris told L'Equipe. "I'm training, I do the maximum, and the coach has made his choice.
"This is difficult, and it's also difficult to accept, but such questions must also be asked to the coach. I just stay professional. When you're a competitor, you want to be on the pitch."
The 25-year-old has made most of his appearances in the League Cup and Europa League.