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Nathan Smith is with the New Zealand A team and did not play on Sunday while Jacob Duffy has been named in the latest New Zealand A team and will not feature today.
Smith ended up being 12th man for New Zealand A in its drawn match against the West Indies.
The first of the New Zealand A games will be played against the West Indies at Mount Maunganui on December 3-6 so the duo will not play for Otago against Auckland in Auckland on Sunday.
Neither of the Otago players has been selected in the second New Zealand A match against Pakistan in Queenstown starting on December 11.
It rained heavily again yesterday in New Plymouth but no rain is forecast for today. Otago took 13 players north so either Angus McKenzie or Jarrod McKay will get a run.
Otago won the opening game between the sides on Sunday after it was reduced to 20 overs.
Meanwhile, Glenn Phillips and Devon Conway will feature in both four-day games.
Lockie Ferguson will play in Queenstown along with Jimmy Neesham.
Also named for both matches are Ish Sodhi and Tim Seifert along with Auckland batsman Mark Chapman and Central Districts all-rounder Doug Bracewell, who were part of the squad which took on the West Indies in the final twenty20 match against the West Indies last night.