Alex McLeish completed the free-transfer capture of former Toon star Lee Bowyer last week but the Scotsman is keen to add a different option, with Barton and Patrick Vieira still being linked with a move to St Andrews'.
The Brum boss refused to say 'yes or no' to questions last week that he was considering Barton, but we believe the midlanders checked him out at Shamrock Rovers on Saturday.
David Sullivan: "We are looking to strengthen the team further and, for a midfielder, we've got eight balls in the air at the moment.
Brum Check Out Barton In Ireland!
"We are working hard and hopefully one or two things will be resolved in the coming days."
Alex McLeish: "We need a different type of player in the midfield because we have got players who are of similar style.
"Lee Carsley and Damien Johnson have got their own fantastic qualities, Keith Fahey is different from them even.
"But I feel we still need some other players to augment the talents of Carsley and Johnson, and now Bowyer."