Lawyer Jock Blathwayt appealed the period of disqualification on the grounds it was manifestly excessive.
Appeal judge Justice David Collins agreed the disqualification period imposed by Judge Tony Walsh was manifestly excessive for two reasons, because it was typically applied to a person convicted on a third drink offence and normally someone convicted for a second time is disqualified for between nine and 12 months.
The second reason for granting the appeal was it was unjust Smith would have to re-sit his licence, he said.
"Having regard for Mr Smith's personal circumstances, the disqualification period would effectively be more punitive than protective of other road users."
However, Judge Walsh was "justified" in being concerned about the high alcohol level for both convictions, Justice Collins said.
As a result he imposed a disqualification period of 11 months on Smith.
"For this reason, I will impose a period of disqualification at the higher end of the range normally imposed on those convicted of a second breath or blood alcohol offence."
Smith is disqualified from driving until May 14.