The Clarets are one of three Premier League clubs to still register a win this season.
They travel to the south coast to face a Southampton side who claimed their first victory against Leeds last Saturday.
"There's some good work being done," Dyche said. "They [need to] stay strong and keep believing. The minimum requirement is maximum effort and these lads are putting that in.
"The key is to remind them of the performance levels produced, we are creating chances - our aim is to turn those good performances into winning performances.
"It has been a tricky start for Southampton, they are an organised side, they worked hard to get a result last weekend and they are a good outfit."
On the fitness of Ben Mee, Matej Vydra and Charlie Taylor, Dyche adds: "We are going to have make a decision on all three. It is a three-game week so we will make a decision on them for the weekend."
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