Aguero was criticised for placing his hand on Massey-Ellis’ shoulder after the official awarded Arsenal a throw-in at the Etihad on Saturday.
But touching an official is not an offence and it is understood the PGMOL do not view Aguero’s action as aggressive or threatening.
Massey-Ellis shrugged off Aguero’s move at the time and the 32-year-old striker, who was making his first appearance in four months following injury, was not penalised by referee Chris Kavanagh.
Labour MP Dr Rosena Allin-Khan branded Aguero’s behaviour as "completely unacceptable" but Pep Guardiola defended the striker after the game.
The City manager said: “Come on guys. Sergio is the nicest person I have ever met in my life. Look for problems in other situations, not in this one.