Insemination advice! Anyone using a donor while having a partner?

I am using a sperm donor for insemination because my spouse sperm count is extremely low. We want to get pregnant using a donor before we go through the trials of IVF that may not be successful. Shortly after my period I start ovulating. My spouse also likes to still have sex a few days before I ovulate. We don’t think it would affect the donor sperm because his sperm has no mobility, etc. For people that have spouses are you guys having sex a few days before insemination? Have you gotten pregnant like that? Or did you stop having sex right after your period until 6-7 days after you have inseminated from ovulation? 

I was worried about sperm competition.  I’ve been doing at home inseminations.