You have a very low risk of blood clots while using the ring. There are some genetic and medical conditions that increase your risk of blood clots though. If you are worried, check with the person giving you the contraceptive to see if the ring is the best option for you, increase your risk of blood clots though. If you have a history of blood clots, or specific concern about blood clots, check with the person giving you the contraceptive to see if the ring is the best option for you.

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References:

1. World Health Organization Department of Reproductive Health and Research and Johns Hopkins Bloomberg School of Public Health Center for Communication Programs (2018) Family Planning: A Global Handbook for Providers. Baltimore and Geneva. Retrieved from https://apps.who.int/iris/bitstream/handle/10665/260156/9780999203705-eng.pdf?sequence=1