As long as you have tubal patency in at least one Fallopian tube, the sperm and egg will be able to meet, allowing fertilization. For this reason, pregnancy is possible with IUI in spite of having one of your tubed blocked.
However, it should be noted that the success rates will be lower.
Read the full article on: Artificial Insemination Indications – Why & When to Use It? ( 84).
Read the full article on: How successful is artificial insemination? ( 49).

Andrea Rodrigo
B.Sc., M.Sc.
Bachelor's Degree in Biotechnology from the Polytechnic University of Valencia. Master's Degree in Biotechnology of Human Assisted Reproduction from the University of Valencia along with the Valencian Infertility Institute (IVI). Postgraduate course in Medical Genetics.