In the case of herpes, it's important to understand that the virus is primarily transmitted through direct skin-to-skin contact. The likelihood of transmitting herpes from bed sheets when someone is sweating and taking antiviral medication is extremely low.

Herpes does not survive for long outside the body and typically requires intimate contact with an infected area to spread. While sharing bedding could theoretically pose a minimal risk if there are active lesions or bodily fluids present on the sheets immediately after use, in most cases, transmission via shared bedding is considered unlikely.

To further minimize any potential risks:
- Ensure good hygiene practices by washing bedding regularly.
- Avoid sharing personal items like towels or clothing during outbreaks.
- Communicate openly with your partner about your condition to address any concerns they may have.

If you're experiencing frequent outbreaks despite being on antiviral medication, consider consulting a healthcare provider for proper management strategies tailored to your specific needs. It's also essential for both partners to practice safe sex measures and open communication regarding sexual health concerns.