A recent demonstration in Stockholm saw thousands demand the change, and political parties have one-by-one said they are open to reviewing the law, with the conservative Moderate party finally joining the call on Wednesday.
A consent clause has, however, been considered by parliament twice before, and critics argue that changing the law would do little.
Marielle Nakunzi, a legal advisor at the Swedish Association for Sexuality Education, said what is important is a comprehensive approach to combating sexual violence.
"We really need to look into the preventative work," she said. "How do we educated children in school? About relationships, about sex, about consent."