The 31-year-old Australian swimmer suffered the problem while having shoulder surgery.
Reports emerged claiming that the sportsman could lose his arm as a result of the infection, but Erskine has played down these suggestions.
"Like all these things, the doctors and nurses in Australia are good and it's bad luck that he got this and he's fighting it like he always has," Thorpe told ABC News 24. "He will get better quickly, I'm sure."
Thorpe was admitted to rehab in February after he was spotted looking disoriented near to his parents' home in Sydney.