The Pillowcase is a collaboration EP between alternative rock artist Matthew Sweet and Bangles singer Susanna Hoffs. Released by Shout! Factory in 2006 in collaboration with Parasol Records as a double-7" vinyl, it contains 4 cover versions of favorite songs from the 1960s. It was designed as a companion piece to Sweet and Hoffs' album, Under the Covers, Vol. 1. Two of the tracks on the EP appear on that album, while the other two tracks were exclusive to the EP.