Despite sitting in 11th place in the Premier League table, the Tigers have won just once on the road since August.
Bruce now wants his side to start replicating their home performances when on their travels.
"I've said repeatedly that we've already been away to all of the top nine, apart from Manchester United, and so it has been a particularly difficult start in that respect," he told the club's official website.
"But we have to make sure that when we go away from home from now on, we have that mentality that we've shown in our home games.
"Unfortunately, we haven't shown that away from home as yet. We're new to the Premier League and we have to find a way of picking some points up away from home.
"It's so tight and you can throw a blanket over everybody in the bottom ten. It's going to be about an accumulation of points and you need to get to that 38-40 point mark."
Hull are back in action on Saturday as they travel to Southend United in the fourth round of the FA Cup.