The Magpies may go into the game still second-bottom in the Premier League, but their last two performances have hinted that they may just have what it takes to stay in the top flight.
Their emphatic 3-0 victory over Swansea was followed by a hugely gutsy draw with Manchester City - where Rafael Benitez's men were perhaps unlucky not to win the game with City's goal being incorrectly given despite a clear offside - and Perez suggested that a repeat of those performances will make Newcastle incredibly difficult to beat.
"When we play this way we can beat anyone," he told the Chronicle. "This is the way, definitely.
"We have to keep working in this way. We have to win these two away games.
"We know we are not doing well away from home but we have a big chance on Saturday against a big team.
"We are closer. We know that we have to win this game. It’s really important for us."
They will surely need all the belief they can get for the game at Anfield however. The Reds demolished Everton 4-0 in midweek and have not lost at home in the league since January.
But with their last two results bringing Newcastle to within two points of safety, and with Benitez knowing all too well what the Anfield atmosphere can do to a visiting team, they may well fancy their chances of being able to end Liverpool's four-match winning run while also strengthening their survival hopes.