Substitute Becky Ferguson scored the only goal of the game with five minutes remaining to help United beat West Bromwich Albion Women - a result which saw the Magpies leapfrog previous leaders Burnley Women.
It was a 13th win in 14 matches in all competitions for Becky Langley's side, who have already recorded a 9-2 victory at Mancunian Unity Women and a 5-0 win at Chorley Women to set up Sunday's game, which will be played at Gateshead International Stadium.
A crowd of 4,172 turned out for last month's 5-0 win over Stourbridge Women, while United were watched by crowds of 28,565 and 24,092 at St. James' Park last season, as well as beating West Brom Women 3-0 in front of another sizeable attendance at the stadium as part of the Sela Cup in pre-season.
Kick-off this weekend is at 13:00 GMT and ticket prices are £5 for adults and £1 for children.
But supporters who can't make the match will be able to watch for free on NUFC TV, while the game will also be streamed live on Newcastle United's official YouTube channel.
Former Lioness Aran Embleton, a Newcastle fan from Cramlington who became one of the first women from the North East to represent England and played in the Women's FA Cup final for Doncaster Belles in 2000, will again be joined on commentary by United defender Jodie Bartle, who is currently recovering from injury.
Fox-in-the-box Ferguson, exciting winger Tyler Dodds and goalkeeper Grace Donnelly will be among the players looking to help United reach the fourth round - when the Women's Super League teams enter the competition.
Can Langley's lasses ensure they're in the hat? Buy tickets here or watch live on NUFC TV or YouTube from 13:00 GMT on Sunday.