Milner has vowed City will fight to the least to recover from a poor start to their campaign.
"We'll be going for it, make no mistake and we will continue to believe until it becomes mathematically impossible," Milner told the club's official website.
"We'll be going out to win and unlikely as it is that we will go through, we want to win our remaining two games and give ourselves at least half a chance.
"If that's not good enough, at least we can finish with our heads held high knowing that we kept going until the end.
"We are professionals who are representing Manchester City and every time you pull on that shirt you go out and give 100% and prove you are worthy of playing for this club.
"I think we've proved we try to do that whenever we play and that won't change on Wednesday night."