The Baggies are busy working to strengthen their squad in preparation for their return to the Premier League – with the new season kicking off on September 12.
And Republic of Ireland international Duffy is a player they are keen on as they look to add top flight experience to their ranks.
The Express & Star understands initial talks between Albion and Brighton have taken place.
But the Baggies are yet to make a bid for the former Blackburn man with the club also monitoring other centre-back targets.
Brighton are thought to be willing to listen to offers for Duffy due to having an abundance of centre-backs at their disposal.
Duffy made 19 Premier League appearances for them last season. But Lewis Dunk and Adam Webster was their first-choice centre-back pairing.
The Seagulls also signed Dutch international Joel Veltman from Ajax last month, while Ben White has also returned to the club following an outstanding loan spell at Leeds.
Duffy is also understood to be interesting West Ham, who are managed by David Moyes – who managed him at Everton.
But the Hammers have to sell before they can buy with reports suggesting there has been little interest in their fringe players.
Meanwhile, the Express & Star understands Albion have spoken to Benfica about signing Krovinovic on loan for a second time - with the deal potentially leading to a permanent transfer.
The 24-year-old made 43 appearances for the Baggies last season – playing a key role in the team's promotion to the Premier League.
But as well as impressing on the field, Krovinvoic also made a big impact off it – with the midfielder hugely popular with his team mates and club staff.
His first loan at The Hawthorns did not include the option of a permanent transfer.
But it is understood the Baggies have now opened talks over a second loan – which would then lead to a permanent deal if they avoid relegation back to the Championship.