Brownlee is expected to compete next at the San Diego World Triathlon Series event in May.
Malcolm Brown, one of Brownlee's personal coaches and British Triathlon's Olympic performance group manager, said: "Alistair has a small tear in his left Achilles tendon and is wearing an air cast as a precaution.
Alistair Brownlee takes world title
"Obviously this isn't an ideal situation, but I can say that this has been his best winter's training, probably ever. We had scheduled a break from training at the end of the winter period anyway, so I am not overly concerned at this stage.
"He is swimming every day, and will train on a static bike today. He has been doing some light running, but now that he's wearing the cast, we will allow the Achilles to repair before resuming light running again, hopefully within the next 10 days.
"Alistair's first planned major race is the ITU World Triathlon San Diego in mid-May. We had never intended that he would race the World Triathlon Series event in Sydney in April, so he still has three months to prepare for that."
Brownlee is the reigning world and European champion, having beaten younger brother Jonny into second place for the world title in Beijing last year.
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