Woods has impressed since heading to Brentford from Shrewsbury Town three years ago - and has proved a thorn in the side of Aston Villa, who have yet to win in four attempts against the 24-year-old.
This is what they are saying about West Brom's latest rumoured target on Twitter...
I would love him at Villa, but sounds like we need that 6 mil to pay our ex CEO. Good times.— Charlie Littlejohns (@chazlittlej) 11 June 2018
Both good players— Jason Price (@PriceyNumber1) 11 June 2018
Good players for the Baggies to sign.— Gary Costello (@B31villa) 11 June 2018
Good player— Millz (@MillerVTID) 11 June 2018
Yeah, played them 4 times now, and neither Bruce or RDM thought to put a man on him, ran the show from deep every game! Be a good signing mate!— Paddy Nolan (@PaddyNolan91) 11 June 2018
Absolutely mate, great player.— Mod Mo (@ModMo71) 12 June 2018
As it transpires, Woods could have been an Aston Villa player, having spent time on trial there before signing for Shrewsbury instead.
Brentford's other Baggies-linked midfielder, Romaine Sawyers, was actually released from the Hawthorns five years ago.
He was initially picked up by nearby Walsall, whose then boss Dean Smith - a lifelong Aston Villa supporter - is now in charge at Brentford.
Are Aston Villa right to be envious of West Brom's alleged Woods pursuit?