The 25-year-old has spent time in the Championship this season during a loan spell at Blackpool.
Part of his time at Bloomfield Road saw him working under Michael Appleton, and it is understood that the now Blackburn boss is also keen on doing a deal.
It is, however, Rovers' Lancashire rivals Burnley who have made the first move.
The Clarets have spent much of the winter window fending off reported interest in a frontman of their own - Charlie Austin.
There is no suggestion that Thomas is being lined up as a replacement for Austin, with Sean Dyche more concerned about bolstering his ranks ahead of a potential promotion push.