Earlier this week Baggies boss Tony Pulis went public with his admiration for Lambert.
"I think it is very important we get players who score goals and Rickie has a great goalscoring record," he said.
"From what I can gather from people at Liverpool, his fitness levels are very good and he is desperate to play football.
"He didn't play last year so it would be like bringing a brand new car out of the garage if you did sign him, just putting a bit of petrol in him and letting him run."
It's being reported that Liverpool and England striker Ricky Lambert has been given permission to undergo a medical at West Brom after the Reds accepted an offer of £3million.
The 33-year-old is set to leave his boyhood club just 12 months after being signed from Southampton for £4.5million.
According to the Liverpool Echo, Lambert was resigned to leaving after Liverpool's £32.5million capture of Aston Villa's Belgian centre-forward Christian Benteke and the signing of Brazilian Roberto Firmino for £29million.
With Danny Ings and Divock Origi also joining Brendan Rodgers' squad, Lambert accepted he would need to depart in search of regular first-team football.
Lambert realised a dream when he signed for Liverpool some 17 years after he was released as a trainee.
However, he endured a frustrating campaign and found his opportunities limited. He scored three goals in 36 appearances but made just 12 starts.
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West Brom are expected to step up their interest in Liverpool's Rickie Lambert in the next 24 hours.
The Baggies are keen to bring the striker to The Hawthorns and talks are set to take place between all parties.
A deal could be wrapped up by the end of the week with Albion's transfer activity expected to gather pace now boss Tony Pulis has returned from the United States following their three-game tour.
Lambert struggled to make an impact at Liverpool after a move from Southampton last summer with the 33-year-old scoring just three times in 36 appearances.
He rejected a deadline day move to Aston Villa in February with the forward insisting he did not want to leave Liverpool after just half a season.
But the England international will also fall down the pecking order on Merseyside with the impending arrival of Christian Benteke, with the Aston Villa striker set to complete a £32.5million transfer to Anfield.
Liverpool have made a £32.5million bid to trigger the release clause of Aston Villa striker Christian Benteke.Read the full story ›
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Liverpool legend Robbie Fowler has found a unique way to launch the club's new away kit, by launching himself out of a plane.
The former striker looked comfortable posing for a selfie as the plane took to the skies, and even seemed relaxed as he and an instructor jumped from the plane.
Liverpool could be out to trigger Aston Villa striker Christian Benteke's release clause with a £32.5m bid.
The Liverpool Echo are reporting the Reds plan to make Benteke their second most expensive signing.
Benteke has been a target for boss Brendan Rodgers all summer, with Villa refusing to budge on their valuation of the player.
Liverpool boss Brendan Rodgers say there is "not a need" for a direct replacement for Raheem Sterling.
Sterling became the most expensive English player when he joined Manchester City for £49m.
The Reds had already secured the services of Brazilian Roberto Firmino who was touted as a like-for-like replacement, but Rodgers seemed to deny this.
Speaking to Liverpool's official website on the club's tour of Australia, Rodgers said:
It's not so much [about] a direct replacement for Raheem, it's just about improving the squad. We've brought in a number of really good players and you add that to what we've already got and the balance in the team looks strong. There's not a need, I didn't feel, for a direct replacement for Raheem.
Manchester City and Liverpool FC have both confirmed that Raheem Sterling's transfer has been finalised.
Sterling was transferred to city for £49 million, a record signing for an English player.
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