Frontier Touring shared their own message, telling New Zealand and Australia fans Sheeran's tour was going ahead as planned.
"We have no reason to believe that the shows here will be affected," they said.
The 26-year-old singer had previously revealed he was "waiting on some medical advice" before making a final decision about his upcoming shows.
He shared: "I've had a bit of a bicycle accident and I'm currently waiting on some medical advice, which may affect some of my upcoming shows. Please stay tuned for further news. Ed x (sic)"
Sheeran is set to perform the biggest musical tour ever undertaken in New Zealand, with six shows in Auckland and Dunedin in March and April next year.
Sheeran is also scheduled to play in the Philippines, Indonesia, Malaysia, Singapore, Thailand, India and the United Arab Emirates throughout November.
It is not known if these will be cancelled or not yet.