Haraszti was speaking after a meeting in Baku with government official Ali Hasanov.
He said Hasanov told him the administration of President Ilham Aliyev shares Haraszti's concern about the handling of the case, and said he assumes the case will be "positively resolved at the end of the procedure."
Haraszti noted that Hasanov is a state official observing the case and is not a decision maker.
Milli and Hajizada were charged with disorderly conduct and inflicting bodily harm in an altercation at a Baku restaurant on July 8.
The bloggers' supporters say the real reason for the charges was their criticism of Azerbaijani authorities.
Haraszti has been in Baku since September 7 and has met with local media chiefs, imprisoned journalists, and government officials.