The veteran player from Newcastle United is reportedly available for transfer after being deemed surplus to requirements at his current club.
While the 33-year-old would add depth in a problem position, Dyche was noncommittal about the speculation.
“(Jarrad Branthwaite) is still a bit away at the moment,” he said to reporters.
“Seamus is a bit closer, Garner is a bit closer just coming back in training with the group.
“Tarky has got a maybe situation - so we're going to have to look at that.”