Sean Dyche's side sold Andre Gray to Watford for £18 million earlier this week, and it is claimed the Clarets boss intends to use the bulk of that money to lure Wood away from Elland Road, after making the New Zealand international his 'top priority'.
Chris Wood of Leeds United celebrates (left)
The 25-year-old scored 30 goals in all competitions last season and has already opened his 2017-18 account, despite appearing just once so far.
Burnley signed Wood's Leeds teammate Charlie Taylor this summer, and the short hop across the Pennines could also appeal to the former, who is said to have interest from Brighton & Hove Albion as well (The Sun).
Leeds allowed another striker, Marcus Antonsson, to join Burnley's neighbours Blackburn Rovers on Friday, and have been linked with a move for Hamburg's Pierre-Michel Lasogga as the Swede's replacement (Yorkshire Evening Post).
Pierre-Michel Lasogga in action for Hamburg
Christiansen make be seeking further reinforcements, however, should Wood be next out of Elland Road.
Can Leeds keep hold of Wood in the wake of Burnley's alleged interest?