The Cork native plays his football for Ligue 1 side Lyon in France after signing from English Premier League side Crystal Palace last summer. After a number of positive displays for Lyon, several clubs are interested in his services.
One club interested in signing the Ireland defender is Champions League finalists Borussia Dortmund.
The Irish Independent reported last week, "The Cork-born defender is attracting interest from around Europe after a breakthrough season with Lyon in Ligue 1, and the Irish Independent understands that he is now on Dortmund's radar.
"Speculation around Mats Hummels' future has led to Dortmund being linked with several centre-halves, and the 6'6" O'Brien has been identified as a player of potential, "said the report
The same report also states that Everton are keeping an eye on the talented Irish player, while Italian giants AC Milan are also interested in the Cork native.
"Everton have been keeping tabs on the progress of the 23-year-old and remain interested, while there has been Serie A attention too, with AC Milan believed to be keen, amongst others," added the Independent.
"But Dortmund have emerged as an intriguing option for the late-developing talent, who is in contention to make his first international start against Portugal on Tuesday."
The transfer links come days after he made his Ireland debut against Hungary. O'Brien came off the bench for John O'Shea's Ireland team.
O'Brien spoke about how "proud" he was of gaining his first Ireland cap.
"It was a proud moment for me and my family as well. It was great to do it at home, and even better to win," he said.
"Yeah, I think it's things like this that you dream of when you're younger. Making a debut is a different type of feeling. It's very special."