The unidentified woman, who was born without a womb due to a genetic condition, was one of nine to receive the pioneering womb transplant last year.
The transplanted womb was donated by the woman's mother, 'The Telegraph' reported.
The egg, from which the embryo was grown and implanted last week, was the woman's own.
"The best scenario is a baby in nine months," said Dr Mats Brannstrom, professor of obstetrics and gynaecology at the Sahlgrenska Academy, Gothenburg, who led the transplant team.
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Eight of the recipients suffered from a congenital disorder which affects one in 5,000 women and prevents the womb from developing.
The ninth had her womb removed after suffering cervical cancer, the report said.
Since the operation was so new, it was impossible to estimate the chance of success, Brannstrom said.
"We know the pregnancy rate in the normal population - the chance for one embryo would be about 25 per cent - so it may take some trials until we get a pregnancy, or we may be lucky and get a pregnancy first time. We don't know," Brannstrom said.