New Albion head coach Alan Irvine confirmed on Wednesday the midlands outfit were in negotiations over signing Lescott, who is out of contract this summer after five years with Manchester City, and it appears the deal is now moving closer.
The 31-year-old looks set to become Irvine's first recruit since the Scot's appointment as Baggies boss at the weekend.
He worked previously with Lescott during his time on the coaching staff at Everton.
Irvine was the Toffees' assistant manager when the centre-back joined them in 2006 from Wolves - the club Lescott began his career at and West Brom's derby rivals.
Lescott has been linked with other Barclays Premier League sides, including Hull and Stoke, but it seems being reunited with Irvine is what lies ahead for the Birmingham-born player.
He made only 10 top-flight appearances for City in their title-winning campaign last term.
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