Despite playing at Elland Road, the Magpies should go into the contest as favourites. Rafael Benitez's men are three points clear at the top of the Championship, and perhaps more importantly, boast an eight-point lead over third place Huddersfield, having won their last eight games in all competitions.
Newcastle United are enjoying a brilliant run currently
Nevertheless, Vieira has suggested that it would be wrong to write off Leeds' chances of ending that fantastic run at the weekend.
"It's a tough game but Norwich was a tough game as well and we came out with a result. We'll see how we go but I think we have got a good enough team to beat Newcastle and go on and do well this season," he said, as reported by the Yorkshire Evening Post.
"We have got nothing to fear in this league so we are just going to go out there and do what we practice during our sessions – with everyone helping the team, doing their best and we'll see how we get on."
Leeds United’s Ronaldo Vieira
In fairness to Garry Monk's men, they also go into the game off the back of a strong run of form. The Whites are unbeaten in their last five, and their dramatic and hugely impressive victory over Norwich before the break took the side up to sixth in the table.
And while they would need several results to go their way, a victory over Newcastle could actually move Leeds up to third in the division, so it is fair to say that, with the Elland Road atmosphere likely to inspire them, they will have plenty of belief about their chances.
Leeds United manager Garry Monk