White has been accused of punching a fan as he left a concert at Melbourne's Palace Theatre.
The Blues have argued the fan had been continually taunting White before the incident occurred, using foul language and repeated abuse to send him over the edge.
"Simon has co-operated fully with the police and the club is offering its full support during this time," a club spokesperson told AFL.com.au.
"Once the investigation runs its course the club will determine if any club imposed sanction is applicable."
White has played in six of the Blues' eight games this season, earning plaudits from coach Mick Malthouse for the "heart" he had shown in the club's 34-point loss to Collingwood in round seven.