More significantly, it would put them in position for a home tie in the play-offs and with it the prospect of being the first Scottish team to reach the Grand Final of any major competition.
The Warriors expect Scotstoun to be packed to the rafters for their second record-breaking attendance in successive weeks.
After entertaining a crowd of almost 7,500 with their win over Ulster, the form team of the RaboDirect PRO12 hope to push that figure to an unprecedented 10,000.
They got closest to it on New Year's Day 2012 when the Edinburgh match drew 8,852 to Firhill during the Warriors' last season there before relocating beside the Clyde at Scotstoun.
That Saturday night's assembly might just be the biggest for a rugby match in Glasgow since the early part of the last century puts it into a true historic perspective.
It could well be the first 10,000 gate since a similar number braved teeming rain and high winds to witness the pioneering All Blacks beat the West of Scotland club team in 1905 at the newly-opened Hampden Park, then the largest stadium in the world.
New Zealand teams have followed in the footsteps of the 'Invincibles' back to Glasgow a few times since, mainly for a fixture against a combined Edinbugh-Glasgow XV.
According to official tour figures, the highest attendance of 9,000 turned up at Old Anniesland for the match in November 1953.
The best of Scotland's major cities, under the captaincy of an Edinburgh University student who would become one of the game's most admired writers, Norman Mair, succumbed by 20 points.
It wouldn't have been for any lack of passion but in terms of what's at stake, Saturday night at Scotstoun will be in a league of its own.
In fact, the stakes have never been higher. Apart from the small matter of national pride, there is a pot of silver to be won and lost - the 1872 Cup final so-called because the first match between the cities took place in that year.
As if that's not enough, the Warriors know they must make it six wins in a row if they are to secure a home semi-final, a welcome change after three away semis in the last four years.
Nobody in the home camp dares look beyond the next game and the imminent arrival of Edinburgh.
Alastair Kellock, Glaswegian born and bred, has seen the fixture from both sides - the first four years from 2002 with Edinburgh, the last eight with the Warriors.
Along the way the 56-Test Scotland lock has compiled more than 250 appearances and learnt just about all there is to learn about the RaboDirect PRO12's Scottish derby.
"There's one thing you can guarantee about this match," he says with some relish. "It will be ferocious. It always is, irrespective of where the teams are in the table and who's playing for what.
"So many motivating factors go into the game. It will be a special game of rugby with a special atmosphere. Scotstoun is a great stadium for 10,000 people. The place is looking fantastic."
Kellock is a local lad, born a few miles away in Bishopbriggs and, as a Warrior, you can't get much more local than that. His previous employers make the short journey west anxious to avenge a narrow Boxing Day defeat (20-16) before 10,000 at Murrayfield.
While Edinburgh concede that any lingering hope of a top-six finish has gone along with a place in next season's inaugural European Rugby Champions' Cup, the Warriors are surging ever upwards. Another win, even without a bonus point, would elevate them from fourth place to second above Ulster and Munster by virtue of having won more matches than the European Cup semi-finalists.
For the Warriors it has been another steep ascent, one made all the more challenging by their unlucky failure to overcome Leinster in last year's Dublin semi-final at the RDS.
"That sort of experience can affect you in one of two ways," says Kellock. "If you end up feeling sorry for yourself, you won't make the semi-final next year or get anywhere near it. On the other hand, it can motivate you to make sure you go one better next time.
"We have learnt a lot of harsh lessons from losing those semi-finals. You work so hard all season and you give so much only to end up asking yourself: 'What more could we have done?'
"So you look back at a game the previous October or November which you probably should have won but didn't. Last season we probably peaked a little early. Now I feel we're coming into form at the right time.
"A new generation has come through, guys who are used to winning with Glasgow Warriors - not every game but some big ones. They respect every opponent but they have no fear whatsoever.
"We have got ourselves into a great position but there's a lot of hard work still to be done. The fans have seen a steady improvement since the time we were bottom of the League some eight years ago and the competition for places is tougher now than it's ever been."
Kellock speaks from personal experience. An arm operation having eliminated him from international duty, the Warriors lock reappeared for 20 minutes against the Scarlets last month and for 50 against Treviso the following week.
"The boss (head coach Gregor Townsend) made the decision that I wasn't quite ready for the Munster match which was fair enough because the boys had done so well they deserved to keep their places," he said.
"As captain, you always have a role to play. Everyone is desperate to play in this match because it means that bit extra. It's Edinburgh and we need to win this game because the Ospreys are still pushing very hard behind us to get into the top four."
Scotland's big two will have the field all to themselves. The match, postponed from New Year's Day because of a waterlogged pitch, is the only one in the RaboDirect PRO12 this weekend and nobody will be one bit surprised if it results in the Warriors elbowing Munster out of second place by virtue of more wins.
The play-off contenders and what they have left to play:
Leinster: Ulster (away, May 2), Edinburgh (home, May 10).
Munster: Edinburgh (away May 3), Ulster (home, May 10).
Ulster: Leinster (home, May 2), Munster (away, May 10)
Warriors: Edinburgh (home, Saturday), Treviso (away, May 2), Zebre (home, May 10).
Ospreys: Zebre (away, May 1), Connacht (home, May 10).
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