Korean War patch for a US Navy Petty Officer Second Class

[Paddyofurniture]

I am looking for a Korean War patch for a US Navy Petty Officer Second Class Corpsman for the dress blues. I have his WWII rate with the Red Cross but I think by the Korean War the Red Cross had change to a Caduceus?

This the rank my Father had when as WWII Veteran being recall from the inactive reserve by our Uncle Harry.

Thank you for your help.

Paddy