Baggies boss Roberto Di Matteo is looking to bring in new blood up front after a recent goal drought - and Carew fits the bill.
He has been Villa's leading marksman for the past three seasons including 17 during the 2009/10 campaign.
But the Norwegian international, who is out of contract in the summer, has slipped down the pecking order this season and struggled for form.
He was also involved in a public spat with Houllier over being challenged to win a new contract although this was played down by both parties.
Initial negotiations have taken place although Albion stress Carew is only one of several potential targets.
Source: PA
Source: PA