The Windies enjoyed a surprise 1-0 success as England struggled to make headway on the flat wickets in the Caribbean.
Dyson said: "We have been fairly happy with what we have achieved in the last 18 months. People keep asking 'have we turned the corner?' We will know if we've turned the corner when we consistently play good cricket.
"It is good to see the players are really taking pride in their performance and looking forward to continuing those good performances on the field."