"Everyone would have said Liverpool were flying after beating Manchester City and winning a Europa League game, but we did okay against them," Fabianski was quoted as saying by British media.
"We shouldn't really be concerned about what we're going to face, although they will be a tough team.
"I believe if we continue to work like we have done over the last week -- we're an honest group -- and we continue to believe in the football that we play, I think we can turn this season around and be in a good place."
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Manager Monk has played down Leicester's chances of lifting the title but has tipped them for a top-six finish.
"I think history shows you that in terms of whether they are title contenders, the answer is possibly not. But I think for sure they are genuine top-six contenders," Monk said.
"The way they have started the season, they have put themselves in a great position. I am sure they just want to keep that momentum going and see how far they can go."
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Sudipto Ganguly)
