The Green and White Army are aiming to qualify for their second-successive major tournament, following on from their run to the knockout stages of Euro 2016, although they have not reached the finals of a World Cup since 1986.
Standing in their way of a place at the finals is a testing two-legged affair against a Swiss side that are currently ranked 11th in the world and that won nine of their 10 matches during the qualifying campaign.
Captain Davis is certainly aware of the threat that Switzerland will provide and he knows his side will have to be on the top of their game if they are to secure a positive result from Thursday's first-leg at Windsor Park.
"It's going to be a difficult game. If you look at their results in qualifying, they were very unfortunate not to qualify automatically for the World Cup," Davis was quoted as saying on Sky Sports.
"The biggest thing for us is going to be getting that balance right, between pressing and cutting off the lines for them to play through."
The return leg is due to take place at Basel's St. Jakob-Park on Sunday and Davis is confident Michael O'Neill's men have enough quality to prevail over the two legs.
He added: "If we can do that, we know we've got the quality to hurt them, and there are weaknesses we can exploit."
Northern Ireland have only lost one of their previous four meetings with Switzerland and punters may choose to use their free bet to back O'Neill's side to gain another positive result during Thursday's first-leg in Belfast.