The Welsh will effectively be in the last-eight if Samoa fail to take a point from their meeting with world champions South Africa in Auckland on Friday.
Such a scenario would leave Fiji needing a 60-point winning margin at Waikato Stadium to deny Wales their first appearance in the knockout phase since 2003.
For Davies and his team-mates, though, momentum means more than statistics - Wales having moved on from their narrow defeat to the Springboks with successive victories over Samoa and Namibia.
"There is a real buzz in the camp to get the job done," he said.
"We showed how ruthless we can be against Namibia, and we need to have that same streak on Sunday.
"I think the draw is set up for us to give it a really good go. It's exciting. We have to make sure we do a number on Fiji.
"They will be disappointed and will want to finish on a high, but it's all about us. We have to make sure we get into the quarters.
"It would be nice to get the result against Fiji and go into the last eight on the back of a victory and a good performance.
"It was a hard-fought victory against Samoa, and we don't want to waste the good work.
"Our 12 tries against Namibia matched South Africa's haul against them, and the 59 points we scored in the second half was a clinical performance - something like New Zealand do."
Ireland are Wales' probable quarter-final opponents. It would be the teams' first meeting since March, when a controversial Mike Phillips settled matters in Cardiff.
Phillips benefited from a quickly-taken lineout throw by hooker Matthew Rees, although television replays showed it was a different ball from the one kicked out by Ireland fly-half Jonathan Sexton, and therefore the try should not have counted.
"We have already beaten Ireland this year, but we don't mind who we play," Davies added.
"The boys have been really switched on, and as a group we are looking to do ourselves proper justice.
"Whoever comes up against us, we are ready to compete. If we are going to win the World Cup you have got to beat everybody."
Wales coach Warren Gatland will name his team to face Fiji on Friday, with full-back James Hook (shoulder), wing Shane Williams (quad strain) and flanker Dan Lydiate (ankle) the primary injury concerns.
All three are thought to be unlikely starters, with Gatland possibly making a number of changes from the side that crushed Namibia 81-7 two days ago.
"You want to keep momentum and keep improving from week to week - that is the aim," Gatland said.
"We've always felt if we got to the quarter-finals, we will have come out of the toughest group, and hopefully we are in good shape by the time quarter-finals come round."
One repeat Wales will need to avoid, though, is their second quarter display against Namibia when they failed to score a point and were, relatively speaking, lethargic in comparison.
Davies added: "We started off strongly against Namibia, then went through a patch before half-time when we were complacent.
"When we got into the dressing room at half-time, (assistant coach) Rob Howley gave us a bit of a rollicking. He said we had to get in on the ball and challenge for it.
"Rob said we started off well, then we expected things to happen without doing the hard work. We got a bit lazy and we weren't securing what should have been our ball.
"Personally, there were one or two things I wasn't happy with. I probably could have given the ball once on twice, although on the whole, I was reasonably happy.
"Coaches want competition for places, and there is a lot going on. We are all good friends off the pitch, but we all want to play. It keeps everyone on their toes, which is good."
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