From what we know regarding the science behind the current COVID-19 vaccines, the use of the vaccines while pregnant or breastfeeding is assumed to be safe for the baby. However, there are only early studies regarding this, but more information will undoubtedly be coming. Here are some links with the latest information re: the safety of receiving COVID-19 vaccines while pregnant or lactating.
CDC guidlines: https://www.cdc.gov/coronaviru...
American College of Obstetrics and Gynecology [ACOG]: https://www.acog.org/clinical/...