Hogg admitted shouting and swearing and acting in an abusive manner towards his wife Gillian when he appeared at Selkirk Sheriff Court last year.
During a review of his community payback order at Jedburgh Sheriff Court, the rugby player - who was not present - was represented by his lawyer Mat Patrick.
He said it was the second review of the order and his submission was that it should be allowed to continue.
Discussing the order, Sheriff Peter Paterson noted "that there has been complete compliance with it".
He said: "My intention is that there would be no further review."
Former Glasgow Warriors fullback Hogg amassed a century of senior caps for his country and was involved in three British and Irish Lions tours.
He remains one of Scotland's all-time leading try scorers and was awarded an MBE in the 2024 New Year honours list for services to rugby union - which there have been calls to strip him of.
He came out of retirement last summer to sign a two-year contract with Montpellier.
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