Opening batsman Warner is due to face a disciplinary hearing tomorrow into an alleged code of conduct breach after a heated tirade at two top cricket writers.
He faces sanctions ranging from a fine to suspension or counselling.
Cricket Australia boss James Sutherland would not comment on the Warner controversy but said using social media remained a key tool for players to engage with fans and promote the game.
"We want our players to be engaging with fans. Part of our strategy is to put the fans first and for them to have a closer and better relationship with our players."
More From This Section
Sutherland said there had been no discussions about developing a social media policy for players but admitted it might be something that needs to be considered.
"We haven't (discussed having a policy) so far," he said.
"We've worked with our players and helped them in training and development and understanding the pitfalls of it.
"I guess we hope our players would be able to know where the lines are drawn and be able to manage that," he added.