Wales lock Carter ruled out of autumn internationals with knee injury
The 23-year-old lock was hurt during training, the Welsh Rugby Union said.
Carter, capped 12 times, would have been in contention for a place in Wales's matchday 23 for their opening Test against Fiji on November 10 in Cardiff.
"Dragons RFC will release further information on Ben Carter in due course and thank supporters for their well wishes," said a statement from Carter's regional side.
Carter has been replaced in the Wales squad by Cardiff forward Teddy Williams, who made his Test debut against South Africa in a warm-up for the 2023 World Cup.
Wales, without a Test win since defeating Georgia 13 months ago, also face Australia and South Africa in November.
The WRU has confirmed the Principality Stadium roof will be closed for all three games, with Wales facing the Wallabies on November 17 and the world champion Springboks six days later.