Hey, Chepie, I'd be asking your GP for clarification of that comment!! Your tube does not 'move across' to collect another egg. At all. Your fallopian tube is connected to your ovary and it does not disconnect at any stage nor does it reconnect to your other ovary in the absence of a fallopian tube. Ever.

I'm sorry if I sound blunt, but... no.
I disagree with this comment. Your ovary is not connected to your tube by rather the tube lays next to your ovary. The fimbria is at the end of the tube which is like hairy bits that sweep the egg into the tube when it is released from the ovary. It is possible for a lady with only one tube to pick up the egg from the opposite ovary although this is not common. In saying this many women who have had ectopic pregnancies that only have one tube have fallen pregnant when the tubeless side has produced the egg. This has been confirmed at an early ultrasound because the corpous luteum cyst that produced the egg is present on the ovary in which the egg came from. It is also possible for women to have only one ovary and only one tube but on opposite sides and still conceive naturally.

I myself have had an ectopic pregnancy and only have one tube. My Dr said my chances of conceiving following my tube removal were not halved because my tube is now gone but it was possible for the fimbria to sweep the egg from the opposite side towards it and it be fertilised that way so it would come from the left side but go down my right tube. Chepie is right.