According to reports, the former Reading front man is currently negotiating a new deal with the Baggies, who have sent representatives to meet the player's advisors
The Republic of Ireland international has been the subject of transfer speculation in recent months with several clubs, including Lazio and Liverpool linked to his name.
Nevertheless, the 26-year-old is continuing negotiations with the Baggies and according club manager Steve Clarke, the Premier League side has increased their efforts to secure the services of the striker, with West Brom's Sporting and Technical Director, Richard Garlick, meeting Long's advisors in Ireland.
Elsewhere, Wolves manager Dean Saunders is hopeful that Kevin Doyle can go on a scoring run after bagging a goal against Bristol City last week.
"It is a relief for him and I know exactly how he feels; once you get one the piano is off your back and let’s hope he goes on a run now," Saunders told reporters.
Doyle, 29, has also been linked with moves away from Molineux, with Scottish Premier League side Celtic expressing their interest in the former Reading and Cork City striker.
However, Saunders insisted that Doyle remained a Wolves players and stressed that the player had time left on his contract.
"He is our player and he has another year left on his contract," said Saunders of the speculation.
Elsewhere, Birmingham City midfielder Keith Fahey is in line to make his first start in more than six months this weekend when his side faces Crystal Palace. The former St Patrick's Athletic player had been granted compassionate leave in November 2012 and returned to the club at the beginning of March.
"For [Fahey] to have stepped into the breach so quickly in terms of the first team after having been so long out of the game just shows how naturally fit he is," said Birmingham boss Lee Clark.