Warriors have their sights set on a home PRO14 semi-final while Edinburgh are holding out hope for a third/fourth place league finish and a Champions Cup spot.
Speaking in The Herald, Cummings said: "They (Edinburgh) will probably be disappointed with the result against Ulster but they are always a strong team. They will be fighting to get in that top three and Champions Cup qualification, they are just as desperate as us. If we lose, we probably don't get that home semi-final, so it is going to be two teams that are desperate for everything.
"Last week, Leinster was the biggest game of the season so far. Next week, Edinburgh is now the biggest game of the season so far. Every week for the past five to six weeks people have been thinking 'this is the biggest game'. If we win this we then get a home semi-final.
"Everyone knows what Edinburgh do. A lot of their game is focused around that set piece, scrum, maul, lineout, so going into the game, that is the focus for us. They have a really good kicking game. They put a lot of pressure on you, back their defence and wait for that mistake.
"We need to be smart about how we play. They have a great kick chase, they will put a lot of pressure on us, but it's up to us to find the gaps. There are areas where we believe we can take those opportunities."
Cummings comes into the game without the baggage of losing to Edinburgh this season - he wasn't selected for the festive double-header - and he is ready to show what he can do.
"We weren't quite as accurate as we wanted to be," was his memory of the two derby games. "We weren't playing the style of rugby that we are now. We have shown in the past couple of games that we can be a dominant pack.
"Everyone thinks of Glasgow as a flash, scoring tries, but we've got that solid defence and solid set piece to back up the flash tries we are still scoring. It is a more rounded team."