Gerry Flynn is aiming for four successive victories to finish off the season after putting Ballymena United to the sword yesterday.
A first-half goal from Stephen Garrett sent Newry on their way, but the Sky Blues could have been in front at the break only for a disallowed goal and Albert Watson seeing his penalty saved by Andy Coleman.
A second-half brace from Richard Clarke, either side of a Kevin Keegan strike, secured a landslide victory for the border club.
“If we win against Bangor on Saturday then we are virtually safe,” said Flynn.
“Dungannon would only be able to get ahead of us on goal difference and ours is vastly superior.
“Saturday is a very important game now in terms of getting safe and then I want us to go on and win our remaining matches so that we finish as far away as we possible can from the play-off place.”
Flynn has taken the captaincy away from Clarke after he confirmed that he will leave the club when his contract expires at the end of the season, but the manager praised his former skipper.
“I asked him for a big performance and I got it,” he said.
Ballymena United: Blayney, Wray, Muir, Smith, Albert Watson, McDonnell, Deans, Aidan Watson, McConnell, Ward, Colligan. Subs: McNeill, Picking, Haveron, Stewart, O’Neill.
Newry City: Coleman, King, Black, Curran, Friars, Clarke, Garrett, Henderson, Morgan, Ferguson, Keenan. Subs: Gowdy, Keegan, Walsh, Anderson, Donegan.
Referee: Dessie Loughery (Limavady).