This Week was met with generally favourable reviews from music critics. At Metacritic, which assigns a normalized rating out of 100 to reviews from mainstream publications, the album received an average score of 79, based on thirteen reviews.[1]
Julianne Shepherd of Spin noted the rapper's vocal abilities, saying: "she finally showcases a flow as strong as her vitriol".[8]Robert Christgau of The Village Voice wrote: "Grae can rhyme, and if she had a male larynx and a production budget, her hype men, chipmunk soul, minor-key piano hooks, and "I wanna rock a fella so bad" might stand underground on its head".[9] Nin Chan of RapReviews wrote: "while I don't feel this to be anywhere near the seminal work that I feel she is utterly capable of, this is still essential listening from a highly relevant emcee".[7]Jamin Warren of Pitchfork resumed: "while no track dips below the quality line, the album lacks thematic fluidity and spark".[6] Peter Hepburn of Cokemachineglow concluded: "in the end, This Week suffers largely from the hype---there's no way this album could be as good as it was supposed to be".[3]AllMusic's Andy Kellman stated: "Jean Grae continues to improve in every respect, but the negative aspect is that too many of the beats bleed into one another".[2]