The MLA was awarded two-year rigorous imprisonment by a local court in 2012 for allegedly delivering provocative speech to incite communal violence.
"The conviction of Abu Azmi has been suspended," his lawyer Sudeep Passbola told PTI.
The 59-year-old controversial politician's appeal against the guilty verdict is still pending in the Sessions Court, where it is likely to come up for hearing next month.
In May 2012, a court in Mazgoan had found Azmi and four others guilty of delivering inflammatory speeches and handed down two-year jail term each with hard labour.
The lower court had also imposed a fine of Rs 11,000 each on the convicts, who were released on bail after the verdict.