The Mirror says West Brom are planning a loan move for Healy. The Baggies, managed by Roberto Di Matteo, are desperate for promotion.
They want to bolster their attack as Ishmael Miller remains a long-term casualty.
Albion have Northern Ireland striker Healy, 30, on their radar as he is yet to feature in the Premier League under new Black Cats boss Steve Bruce.
Baggies scouts watched have watched Healy in the Sunderland reserves.