Not sure why some pps seem to think OP is saying snip or no sex?
Also, a few people have mentioned that a vasectomy can be risky, and cause pain for the bloke for sex in future. Yes it happens, but why isn't the same worry being shown for women who've ended up with problems and pain during intercourse as a result of childbirth. (and people are assuming OP hasn't suffered any problems down below too)
If childbirth causes problems for women more often that vasectomies do for blokes, and op doesn't want hormones or objects stuck up her fanny then she's not unreasonable to want him to use a condom, which has no physical side effects for him or her and has high success rates when used correctly.
I don't think he should be pressured into getting the snip, and OP hasn't pressured him, but if his fear of complications is respected (and rightly so) OPs fears about the coil should be too.
Pps keep telling the OP that the coil is great, which I'm sure it is, but there's also times it's gone wrong, just like how loads of men have had the snip without problems but sometimes it goes wrong.
And as for the op who said they've heard sex with a condom isn't worth having, I've not had anyone say that since I was late teens, early 20s and it was mates boyfriends trying to persuade them to have sex without one, funny how when they were told "ok, we won't have sex then" they quickly changed their minds and is was worth having after all.