The heat stability of Mupirocin has not been tested. It is poorly soluble in water (26 mg/L), but highly soluble in DMSO (≥10 mg/mL). Should sterilization be necessary, filter sterilization using a 0.22 um PTFE, Polypropylene, or Nylon filter membrane is recommended. One publication does suggest that this compound may be autoclaved, however this has not been validated.
See the link below for a publication that may be helpful:
https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=04422266ee0024deeab81bd939305cbb1e2bc261