Bognor Regis had goalkeeper Dan Lincoln to thank for two superb late saves, restricting Oxford City to a point in a 0-0 draw.
The experienced stopper got down sharply to deny Zac McEachran before tipping Ezra Forde's deflected effort over the bar.
Both sides made a slow start but The Hoops brought the game into life as Matt Paterson struck the post following Freddie Grant's low cross.
Jack Stevens was forced into a sharp reflex save before a 28th minute McEachran free-kick saw Lincoln scrambling to cover his bottom corner.
A half-time reshuffle saw Reece Fleet continue his return from injury, replacing Dave Pearce.
The Hoops were relieved to see a driven ball across goal evade a Bognor touch, before Ben Swallow shot straight at Stevens from range.
Mark Jones made his second change if the game in the 63rd minute with Horatio Hirst making way for Ezra Forde.
Joe Oastler produced two excellent blocks on the edge of his own area to keep Bognor at bay before Godfrey Poku shot over.
The Hoops looked certain to take the lead with 15 minutes remaining as Forde squared to Paterson. Six yards from goal, the striker found Tommy Block well placed to make a crucial intervention.
Cristian Oxlade-Chamberlain broke away dirrctly from kickoff, seeing the ball taken off if his toe as he looked to pull the trigger from the edge of the area. The Hoops immediately regained possession, McEachran racing clear only to see his early effort pushed around the post.
The near miss caused tensions to boil over in the Bognor camp as captain Sami El-Abd and Lincoln clashed before the corner could be taken.
Moments later, Forde pounced in a loose ball to shoot from a tight angle, seeing his shot loop up off of a defender and nearly lob Lincoln.
Three minutes of stoppage time passed without incident, seeing The Hoops clear of the relegation zone for the first time since October.
Oxford City: Stevens, Oxlade-Chamberlain, Grant, Fofana, Navarro, Oastler, Hirst (Forde 63), Poku, Paterson, McEachran, Pearce (Fleet 45).
Unused Subs: Jones, Tutton.
Elsewhere, The Nomads safely progressed to the next round of the Floodlit Cup thanks to a 5-1 victory over Henley Town.
Updated 21:32 - 3 Dec 2017 by Oxford City FC