Liverpool's bid for a first top-flight title in 24 years received a significant boost Wednesday as City was held 2-2 at home by Gus Poyet's struggling side.
"Last night (Wednesday) was a warning sign for everyone that at this point of the season, nothing is guaranteed," the 46-year-old, whose side are two points clear at the Premier League's summit, told reporters. "Our rivals may have dropped points but it's irrelevant, you've got to win your own games.
"We can use the stress as an opportunity. I think for us, it won't be the case of pressure, we may get a little bad luck or a genuine honest mistake. The finish is still a wee bit out, we just need to focus, show the character that we have."
Next up for Liverpool is a trip to Carrow Road to face relegation-threatened Norwich City on Sunday.