The Clarets have secured the signing of Nathan Collins for an initial £12 million from Championship outfit Stoke City.
Speaking after his team's friendly with Oldham Athletic, Dyche indicated he does want to add more players before the season starts.
He said: "We still have Vyds and Woody to come back and Kevin Long and Popey so our group does get stronger and a bit deeper.
"We are probably one or two short, so we will see how that goes in the transfer window."
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