The size of the task facing Warriors can be put into context by the fact that they have never before beaten an English Premiership team on their own patch.
With Jim Mallinder's men leading their domestic championship and, having as recently as 2011 been beaten finalists, the size of the challenge cannot be underestimated.
But, with last season's beaten finalists, Ulster, coming to Scotstoun next Friday, Kellock has no doubt that a positive result at Franklin's Gardens will be crucial in their bid to make it out of the group stage for the first time ever.
He said: "What we need to produce on Sunday is a Test Match-level performance.
"We know if we produce our best against Northampton then we will give ourselves a chance of a positive result and that could prove pivotal for our whole group campaign.
"Northampton are former Heineken Cup winners, they made the final a couple of seasons back and they lead the English Premiership right now, but we are going south to win.
"Over the course of the week there has been a real intensity to our preparations, we know that we are overdue a result in England, and this would be the best possible time to achieve that."
Warriors' head coach Gregor Townsend has made three changes from the side that turned over Cardiff at Arms Park last Saturday.
Stuart Hogg starts at full-back after an impressive cameo off the bench in the Welsh capital, Ryan Grant starts at loose-head prop and Tim Swinson partners Kellock in an abrasive second-row partnership.
Warriors have come close to success down south before. Back in 2009 two Dan Parks penalties had Glasgow 6-0 up at Gloucester only for a second-half collapse allowing the home side to win 19-6.
Despite three Thom Evans tries at the Rec the year before, Warriors lost 35-31 to Bath in one of the most thrilling ties ever played by the club.
Kellock added: "The match will be won up front.
"We must be proactive in our actions at Franklin's Gardens as they are a very powerful pack who take you on up front and send their ball carriers round the corners. But there are a few teams like that who are similar in their approach in the PRO12.
"We showed what we are capable of up front at Cardiff last weekend and, if we can lift it a notch from that, we will give ourselves a platform to achieve a famous win"
Glasgow: Hogg; Seymour, Dunbar, Horne, Lamont; Jackson, Pyrgos; Grant, Hall, Cusack, Swinson, Kellock, Strauss, Barclay, Wilson.