"The lack of room is news to me," Anna Jönsson, who is expected to give birth to her second child in Malmö this summer, told the news agency TT.
"I'd rather not get sent somewhere else. Of course I am worried and a little nervous," she added.
TT expects that Skåne, the region where Anna Jönsson lives, will see a record twelve-percent increase in births this summer.
Hospitals in Stockholm, Gothenburg, Jönköping and Linköping may also deliver more children than last summer.
"It is no easy feat to find authorised midwives," said Kerstin Nyberg, head of female care in Norrbotten in northern Sweden.
"People move away and go on vacation, meaning employees who have not worked in deliver rooms come in," Nyberg added.
Fertility has steadily increased in Sweden since 2000. Statistics Sweden expects 2 000 more children to be born this year than in 2011.