Anderson is facing a charge under Level 3 of the ICC Code of Conduct for Players, following allegations that he pushed and abused India's Ravindra Jadeja during the lunch break on the second day of the Nottingham Test.
"His Honour Gordon Lewis AM is Australia's representative on the ICC Code of Conduct Commission and his appointment, as per Article 5.2 of the ICC Code of Conduct for Players and Player Support Personnel, was finalised after the England cricket team responded to the Notice of Charge," ICC said in a statement.
The hearing will take place via telephone conference call in which Lewis will address any preliminary issues that need to be resolved prior to setting the hearing date and will also explain the procedure that will be followed at the hearing.
All Level 3 breaches carry a penalty of between four and eight Suspension Points. Two suspension points equates to a ban of one Test, or two ODIs, depending on which type of match is scheduled next for the suspended player.