My 2nd covid dose will be at 37week

Hi, any mummies took 2nd covid vaccine dose at 37 weeks before? How was it? My scheduled vaccime is this friday and i am 37 weeks by then.. My hubby worries is what if the week after i went to labour, and what if i fever that time? As we are advised not to do excessive exercise after the jab, will be consider ok if mummies went to labour? Hahahaha!