But the battle to top Conference A is still raging, as Dave Rennie’s men fight to hold off Munster and secure a home semi-final.
What does their remaining schedule look like?
After downing Ulster at home last Friday night, the Warriors have just two games left and a three-point lead over Munster at the summit.
However, they have two very tough games to come in the regular season before they can focus on the Final Series.
Munster’s provincial rivals Leinster can do their neighbours a favour in Round 20 when they take on the Scottish outfit.
Glasgow will be at the RDS to take on the defending champions, who virtually never lose at home in the league.
And then on the final day of the regular season, it is Glasgow’s 1872 Cup rivals Edinburgh to round things off.
Edinburgh have already claimed the bragging rights and the silverware this year after winning the double header at Christmas.
But the Warriors at Scotstoun will be keen to finish the regular season on a high, dent Edinburgh’s own Final Series ambitions and hold off Munster for top spot.
R20 – Leinster (A), Saturday April 13, 15:00
R21 – Edinburgh (H), Saturday April 27, 19:35
Who are going to be the difference makes in the Guinness PRO14 Finals Series?
Stuart Hogg missed much of Scotland’s Guinness Six Nations campaign but has returned to form and fitness at just the right time for Glasgow.
The full-back is such a key cog in the backline and in his final season at Scotstoun will be desperate to finish on a high.
Wing Tommy Seymour is also back fully fit and firing while Ali Price has grabbed Scotland’s No.9 jersey and brought that international form back to club colours.
Up front, Zander Fagerson is another hitting top gear at the right time after an injury-hit campaign while Callum Gibbins’ experience and leadership in the back row knit everything together.
What’s the must-win game for Glasgow?
They can’t really afford to lose either of their remaining games if they are to hold off Munster and secure a home semi-final.
But winning at the RDS is a tough ask for any side, and should Glasgow fail to do it there is a chance they will have to go back there in the Final Series.
The two sides have not met yet this season but they did lock horns three times last campaign.
The Irish powerhouses did the double in Europe on their way to the Champions Cup crown but in between, Rennie’s side claimed revenge with an impressive home win in the league.
Can Glasgow go all the way in the Guinness PRO14 Final Series?
Dave Rennie’s side dominated the regular season last year but then came unstuck at home in their semi-final against Scarlets.
They probably paid the price for peaking too early in the season, this time around the Warriors have worked hard to ensure they are firing on all cylinders at the business end.
Champions in 2015, The Warriors are desperate to return to the Guinness PRO14 Final this year of all years with the final in Glasgow at Celtic Park.
There is no doubt they have the talent to go all the way, and a huge part of it will be holding off Munster in the run-in to ensure their semi-final is at Scotstoun, where they could end up facing Ulster or Benetton, or even a fourth clash of the campaign against Edinburgh.
The Guinness PRO14 Final is one of the most entertaining games in the rugby calendar and takes place in Glasgow’s Celtic Park on May 25. Tickets start at just £25 for adults, £1 for kids. Visit www.pro14rugby.org/finaltickets