Harrison, who replaced Manqoba Mngqithi at Arrows last month, has overseen a 4-0 loss to Orlando Pirates in the Telkom Knockout and a 1-0 defeat to Mpumalanga Black Aces in the League following his arrival in Durban.
And while Harrison admits their upcoming opponents are a dangerous side, he feels there are areas of Swallows' play that can be exploited at King Zwelithini Stadium.
"I don’t look too much into the opposition’s stats but I look at them in general. I mean they are on top of the league for a reason, because they are playing well of course, and they are scoring goals and defending well," Harrison told snl24.com/kickoff.
"We know that they are a threat with good players that play up front but also they are suspect of conceding goals. So we are going to try and exploit that and try to keep a clean sheet as well tonight."
Harrison concedes his team need to markedly up their game following a miserable start to the season. The Durban outfit have only scored three league goals while they have conceded in each of their seven games. Consequently they are propping up the standings with four points - 11 points behind the Dube Birds.
"When I arrived here it was evident that we had a few problems," Harrison said.
"I think we only scored three league goals and we have conceded too many goals and haven’t kept a clean sheet.
"So it's obvious that we have problems on both ends of the field.
"We have been trying to address that but it’s a process and it's not something that will change overnight.
"So it going to take time but hopefully we can be ready sooner then later," concluded the Englishman.