Despite the possible merger between themselves and Bath still very much on the agenda, the Shoguns players will nevertheless be hoping that they can finish off their campaign on a high.
Commenting on the club's offical website, former All Black centre Gibson said: "Both sides certainly aren't safe so I think this will be another tense encounter with everyone out on the pitch trying to secure victory."
With a number of teams still involved in the bottom half of the table and some still able to qualify for the Zurich Wild Card play-offs there is everything to play for.
"We have already talked out our mindset for this game. We've got to go out there and win, regardless of any other results, and that's all we are thinking about," added the 28 year-old Gibson, who scored the Shoguns first try against Bath in the 30-20 win.
Looking back at last Sunday, the Kiwi, who replaced the injured Garath Archer as Shoguns captain, said: "All credit to the guys they stuck at it and I was proud of their performance against Bath and it gave me my first victory as Bristol caption so I was pretty pleased with the result."
Gibson and the rest of the Shoguns set-up are well aware of the form that London Irish have hit, especially after their superb win at Leicester last Saturday.
"London Irish put in a great performance to win at Leicester so they will be full of confidence on Saturday, just as we will, and going out for a win," Gibson said.