Sorry. Its a quick and simple test, maybe your partner just needs to know what's involved and he might agree. Its much easier to test the man to start with than the woman.
Have you spoken to a doctor? Generally they will start fertility tests if being unsuccessful for 12 months, if over 35 they will do them after 6months.
Your partner might be worried about the sperm test results, my partner was hesitant to have his tested and after we got the results he said it was because he was worried it would come back bad. Its a very simple test,