Docherty hailed his side’s “mentality, resilience and character” post-match – understandable comments given the circumstances.

Dundee are without injured defenders Ziyad Larkeche, Antonio Portales, Joe Shaughnessy, Jordan McGhee and Billy Koumetio at present.

They have struggled for defensive solidity all season, with the derby win just their second clean sheet of the campaign.

There was a series of last-ditch blocks as the second half wore on, no more impressive than Ethan Ingram’s on the goal-line, which denied United substitute Ruari Paton a certain goal on his debut after arriving on loan from Port Vale only hours earlier.

Whenever the defence was breached, goalkeeper Trevor Carson provided the answers – until Kristian Trapanovski’s shot in injury time bounced clear off the post.

“You saw the mentality, the resilience and character of the team to see out the game and get a clean sheet,” Docherty said.

“I just think, everything considered – I’ve got five centre-halves out – to put in that performance speaks volumes. I’ve got good players and we’re very good on the counter attack.

“They put us under pressure, but my lads stood up to that.”

Match-winner Murray typified Dundee’s energy, leading the press from the front and providing a near constant goal threat in an impressive first-half display that began with the decisive goal.

The former United and Ross County striker echoed his manager’s sentiments regarding the players’ work-rate.

“We put everything into that,” the 33-year-old said. “It’s a great feeling – just buzzing to get the win.

“Old legs were knackered at the end, but it’s all worth it. Absolutely delighted and looking forward to the next round.”