Wilson is set to leave Bournemouth this summer, with Eddie Howe recently confirming that the versatile defender is no longer part of his plans.
And the Republic of Ireland international could be on his way to Leeds, if reports are to be believed.
Wilson is said to be available for just £1 million, and that could make him an appealing addition for Leeds.
Christiansen only has three centre-backs available to him currently, in the shape of Pontus Janssen, Liam Cooper and Matthew Pennington.
Leeds have already made nine signings this summer, but more new faces are expected to arrive at Elland Road before the season starts next month.