The Crystal Palace pair are both wanted by West Bromwich Albion.
Tony Pulis worked with the duo at Selhurst Park, signing them for the Eagles in January 2014. Although goalkeeper Hennessey is only second choice to Julian Speroni, Ledley has become a key figure in Alan Pardew’s midfield, and any transfer looks unlikely to be sanctioned by Palace.
Ledley himself looks very keen to remain at the club, claiming he is dedicated to Palace amid the transfer rumours.
The midfielder said: “I saw the rumours but it's not something me or my agent have heard and at the moment I'm a Palace player and hopefully I'm there next season. I have two more years on my contract, we've just come off a fantastic season last year, I'm there and I'm dedicated to Palace.”
Whilst the Welsh international is a key figure for Pardew, a move for Hennessey is more likely, with West Brom being able to offer him the first-team chances that he has been restricted to at Selhurst Park.
However, he has admitted his happiness at his current spell in South London, with hopes that he can start next season as first-choice goalkeeper.
The goalkeeper said: “I’ve had people telling me about interest from West Brom. I've got two years left at Palace so I'm happy. I played the last couple of games so hopefully I can start next season.”