The Clarets are 13th in the Premier League table with 14 points, three clear of the relegation places.
However, Burnley have struggled away from home, with just one point from five games on the road.
The Lancashire outfit have only scored once away from Turf Moor this season and Mee admits they need to find a way to pick up results in their away fixtures ahead of Saturday's trip to Stoke.
"We need to sort that out and play better away from home, we know that," he told the Lancashire Telegraph. "We’ll look at that and we will improve. We’ve got an honest bunch of lads who will work hard to do that."
Mee is also hopeful Burnley will be able to call on the services of Dean Marney at Stoke as he says his team-mate "does a job that nobody really notices".
Marney is one of four Clarets men who have started every Premier League game so far this season but the 32-year-old faces a race against time to be fit for the trip to the Potteries on Saturday.
The midfielder limped off in the defeat to Manchester City with a nerve problem and is a doubt for the clash with the Potters.
Marney grabbed a goal against City but defender Mee feels it is his work in other areas of the pitch that the Clarets will miss most should be fail to make it on Saturday.
"He’s been brilliant," he added. "It’s a shame he came off with an injury. He does a job that nobody really notices. It’s important for us he carries on doing that job.
"He’s been brilliant," continued the former Manchester City defender, who captained the Clarets for the first time against his old club, of Marney.
"It’s a shame he came off with an injury. He does a job that nobody really notices. It’s important for us he carries on doing that job."
Burnley last week