More than 1.5 million tourists are expected to visit the country during the course of the one-month long tournament and the politician believes that the women of the country should be be cautious and prevent themselves from making love.
The World Cup hosted by Russian Federation could mean "there will be young women who meet someone and then give birth".
Russian women have been warned to refuse sex with foreigners during the World Cup so as to avoid becoming pregnant and raising the child alone.
"These children will later suffer and have suffered in the Soviet era", Pletnyova said, claiming that a similar trend occurred after the 1980 Summer Olympics in Moscow. Pletnyova, whose committee also handles women and children's rights, said that the female journalist who accused one of her colleagues of sexual assault should dress more conservatively, or even quit.
She was responding to a question about the "kids of the Olympics" - referencing the claim that there was a spike in births of mixed-race children in Russian Federation after the 1980 Summer Olympics. "We should have our own babies", Ms Pletnyova said.
Tamara Pletnyova, the head of a parliamentary committee on family matters made the comments in an interview with the Govorit Moskva (Moscow speaks) radio station today. "They are abandoned, and that's it, they stay here with mum".
Urging women to marry "Russian citizens" instead, she said that children risked being "abandoned and just left with their mother" or being taken overseas by their fathers. "I'm not a nationalist, but still", she added.
Couples should 'both be citizens of Russian Federation who build a good family, live peacefully and in a friendly way and bring up children together, ' she went on.
Ms Pletnyova has been widely condemned online, with some people drawing parallels between her comments and Fifa's Say No to Racism campaign.
Pletnyova previously criticised the #MeToo campaign against sexual harassment, tentatively spreading in Russian Federation.
"Those who get harassed are probably the ones who want it themselves and give the occasion for it", she said in March, claiming that introducing laws in Russian Federation for the offense is "excessive".