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Mr Andrews - who is survived by a two-year-old daughter - was flown to Dunedin Hospital in a critical condition on Thursday, October 22.
Police this morning confirmed Mr Andrews had since died.
A tribute to Mr Andrews was posted to social media on Friday last week. Police did not confirm when Mr Andrews died.
The 40-year-old suffered a heart attack mid-flight on the way to Dunedin Hospital and at the time his stepfather, Bruce Cawley, described his condition as "50:50".
Mr Andrews was dragged 3km out to sea off the north side of the Waitaki River mouth.
Emergency services were alerted to the accident by a whitebaiter on the south side.
Waitaki River was Mr Andrews' favourite whitebaiting spot.
Mr Cawley described his stepson as a down-to-earth man, and said his two-year-old daughter was the "sparkle of his life".
The incident comes after a whitebaiter in the same area survived after being swept out to sea three weeks earlier.
The man was wearing a lifejacket and made it back to shore unaided.