Burnley were thrashed 4-0 at the Hawthorns on Monday night.
Burnley take on Everton and Lukaku at Turf Moor this weekend.
The Baggies are considering turning to their Premier League rivals as they look to bolster their defensive options
Burnley sit top of the Championship table separated from Middlesbrough and Brighton & Hove Albion below them by goal difference only.
Burnley and Leeds United will face each other in the Championship on Saturday.
Both sides remain in contention for a play-off spot in the Championship.
Burnley goalscorer Ben Mee believes if it had not been for Thibaut Courtois, the Lancashire side would have come away with all three points
Ben Mee has faced tough tests against Wilfried Zaha and Andros Townsend of late, but is relishing another when Burnley face Sunderland and Adam Johnson.
Manchester United, Burnley, Chelsea, Tottenham Hotspur, Arsenal, Crystal Palace and Southampton stars feature in the EA Sports PPI Team of the Week.
Ipswich Town star named number one, while there were respective top five finishes for both Leeds United and Derby County defensive stalwarts.