Hatch arrived at the U.S. District Court in Providence at around noon on Monday.
The reality star maintains his innocence and said he hopes to be released soon. He has appealed to the 1st U.S. Circuit Court of Appeals in Boston.
Hatch, who lives in Newport, R.I., is currently appearing on NBC's "The Celebrity Apprentice."
He spent three years in prison for tax evasion before being released in 2009. He was ordered to refile his 2000 and 2001 taxes and pay what he owed. He never did.
The Associated Press contributed to this report.