West Ham and Swansea are tracking the Swindon midfielder.
The Iraqi international, who started his career in Tottenham’s youth academy, has played for Swindon since 2013.
He has managed 108 games for the club, scoring five goals and registering nine assists from his central midfield role.
This season, Kasim has featured 20 times as Swindon have struggled, sitting mid-table after 27 games.
Despite their struggles, the 24-year-old has been drawing scouts from higher up the football pyramid, with West Ham and Swansea from the Premier League watching him play.
Kasim is out of contract in the summer, and the recent prevalence of Football League players excelling in the top flight makes him an attractive proposition.
He is young, with years left to continue developing, and has been a top performer in League One for a few years. Kasim also counts as homegrown, making him a valuable commodity in the Premier League.
It is not indicated in the report as to whether any sides are ready to formalise their interest in Kasim yet, or are simply keeping an eye on him to track his development.