Manager Steve Bruce is keen to add the Republic of Ireland international due to his Premier League experience and versatility.
Hendrick signed for Burnley from Derby in 2016 and has scored ten goals in 139 appearances.
The 28-year-old had started 22 matches for Burnley this term and Sean Dyche wanted to keep the versatile operator in his ranks but contract talks ultimately went nowhere, with the player content to wait and see what other doors might open.
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