HITC Sport understands Bournemouth have rejected bids from duo for midfielder.
Bournemouth's Eunan O'Kane in action with Everton's James McCarthy
O'Kane's future at Bournemouth has been the subject of speculation this summer with a number of clubs monitoring his situation at Dean Court.
Bournemouth are understood to be willing to listen to offers for O'Kane this summer with the midfielder entering the final year of his contract at Dean Court.
O'Kane, who has been at Bournemouth since 2012, struggled to hold down a regular place in Eddie Howe's side last season, making only six starts in the Premier League this season with most of his other appearances either coming off the bench or in cup competitions.
Manchester City's Pablo Zabaleta in action with Bournemouth's Eunan O'Kane
The 25-year-old is understood to be open to the idea of a move away from Bournemouth as he is keen to be playing on a regular basis at this stage of his career.
Wigan Athletic manager Gary Caldwell
Wigan had identified O'Kane as the ideal replacement for Emyr Huws following his move to Cardiff, but Bournemouth have rejected the offer from the Championship new boys.
Leeds have also made an approach for O'Kane as Garry Monk looks to bolster his midfield options after making Toumani Diagouraga and Luke Murphy available of transfer, but Bournemouth have also turned down Leeds' bid.
It remains to be seen if both Championship clubs come back with improved offers for O'Kane as they look to persuade Bournemouth to do business for the former Everton youngster before the close of the transfer window.
Leeds United manager Garry Monk