The Telegraph reports that Blackburn have already had a £2million bid for the striker rejected by Spurs.
Tottenham manager Harry Redknapp has told Keane he can leave White Hart Lane this summer.
Blackburn’s Indian owners, Venkys, are ready to hand manager Kean a £20million transfer war chest to spend on new players this summer.
Blackburn face competition from the likes of Newcastle, Sunderland and Fulham for the striker.