Rovers were relegated from the Premier League last season, but the 44-year old believes that star players aren't looking to leave.
Rovers have already purchased Leon Best and Danny Murphy while being heavily linked with Portugese striker Nuno Gomes.
"Players will be signed and players will leave but there's no pressure to sell, no pressure on having to raise funds to make signings," Kean told Setanta.
"The terms and conditions of Danny's contract were very competitive as you would imagine if there's two Premier League clubs in for him."Blackburn are set to be without two standout players from last season, as Yakubu signed for Guangzhou R&F for an undisclosed fee on Friday evening, and Junior Hoilett is now out of contract.
But Kean doesn't think other star players will follow the pair out of the exit door.
He added: "There's one player that has [asked to leave] and I would rather keep that private, but there's only one. Every other player that I've spoken to wants to stay, wants to be part of it.
"We find ourselves in not a great position with Junior Hoilett, who only signed a two-year contract when it should have been more a couple of years ago, but we are where we are. We're not sure how that will pan out."