Both of the sitcoms' latest episodes have been released early on HBO On Demand and HBO Go for viewers to stream prior to Sunday's NFL championship game.
[Lena Dunham in 'Girls']
HBO will premiere both shows on Saturday, February 2, with a repeat airing in Girls and Enlightened's usual timeslots the next night.
Girls was recently renewed for season three by HBO, only two episodes into the show's second run on the network.
The Lena Dunham-created series recently took the 'Best Television Series (Comedy)' prize at the January 13 Golden Globe Awards.
[Lena Dunham at the Golden Globes]
Dunham also won the 'Best Actress in a Television Series - Musical or Comedy' award, saying in her acceptance speech: "This award is for every woman who's felt that there wasn't a space for her.
"This show has made a space for me, thanks so much.