In a statement on Thursday, the Suns said the incident between Brown and May had happened in Los Angeles following the end of a training camp in Arizona.
“The incident left May with a suspected fractured jaw which is expected to require surgery. No other players were involved,” the club said in the statement.
“The club is in the process of establishing exactly what happened and all other relevant facts, and is discussing the matter with the two players concerned who have since returned to the Gold Coast ahead of their teammates.”
Brown, 30, is a former Hawthorn premiership defender who first played for the Suns in 2011, while May is a 21-year-old key position player.
Brown signed a new one-year deal with the club in August, however the incident raises questions over his future on the Gold Coast.
“The Suns are considering appropriate actions and will not make further comment at this stage in relation to the incident,” the club said.
More to come.