Southampton are on a run of four successive wins in all competitions and, while confident of getting a result in the north west, Davis rejects the notion that United are on the slide.
"For us, I think it is a game to look forward to," he said. "I am sure Man United won't take us lightly after the start we've made.
"These are stadiums you want to play at and players you want to test yourself against.
"I think it is the biggest test. Every Premier League game is a test because you're coming up against top players, but I think coming up against Man United, obviously being champions, is a game we can look forward to.
"The defence has been the platform for our success so far. The last couple of games we've managed to score a couple of goals as well.
"Last year we went up to Old Trafford and came away feeling disappointed not to get a result.
"We played some really good stuff, especially in the second half, and we can take confidence from that and hopefully put in a similar performance and get a better result.
"We can go there, try to play the way we can, and if we do then we are more than capable of getting a result."