It has been found to migrate to the testicles and the prostate in monkeys 1 and 2 weeks post infection. They used a PET scan to detect the virus.
scitechdaily.com/covid-infe...
biorxiv.org/content/10.1101...
This is not yet peer-reviewed, but it is probably a good idea to wait at least a month after infection to get a PSA test.