We appreciate the sensitive nature of this question.
A man is not required by halacha to undergo surgery in order to fulfill the mitzvah of
peru urevu (to be fruitful and multiply). As you note, you are not personally obligated in
peru urevu.
Still, surgery would be encouraged, as long as it entails little risk, because of our desire to fulfill mitzvot when it is possible to do so.
Your husband should certainly explore the medical implications of a decision to delay surgery with his physician, and you should discuss together as a couple what would be best for both of you. If it is a difficult topic to discuss openly, you may want to consult a therapist or counselor to help mediate the conversation openly.
We welcome you to arrange a free consultation with a Yoetzet Halacha Fertility Counselor, details
here, to discuss the halachic ramifications of this decision.
This response was updated on 2 May, 2021.