Blocked Fallopian tube


I found out about a month ago after ttc to conceive for 14 months now that my left Fallopian tube is blocked. My ob/gyn just referred me to a fertility specialist but I haven't scheduled an appointment yet. I guess my question would be, has anyone gotten pregnant naturally with one Fallopian tube? If so, how long did it take you? I have been doing research and I'm going to try using castor oil between when my cycle ends and before ovulation starts because I've read that it can help "naturally" open Fallopian tubes. Anyone else in this situation or have experience with this?