Billboard wrote that the album demonstrated Minnelli's talent as a recording artist in addition to her success as a film actress and nightclub performer. The review described her performance of the title track as "beautiful" and highlighted her versions of "Leavin' on a Jet Plane", "Love Story", and "Wherefore and Why" as excellent treatments.
Cashbox considered the album excellent and highlighted tracks "Leavin' on a Jet Plane" and "On a Slow Boat to China". The magazine's critic concluded by saying, "an excellent showcase for this talented young vocalist. Could be a substantial item".
Record World noted that the album showcased Minnelli's continued affinity for the work of contemporary songwriters. Morgan Ames from
High Fidelity magazine wrote that she initially considered Minnelli a singer without previous technique, but her opinion changed over the years. She noted that the album's producer, Larry Marks, "made the artist express herself in the most perfect way possible". Ames stated that 'Come Saturday Morning' is elegant, current, suitable for the singer, featuring superb arrangements and a vocalist who "found out who she is as a singer" and whose vocals are more restrained, beautiful, and powerful than before. She selected the songs "Don't Let Me Lose This Dream", "Simon," and "Slow Boat to China" as the album's highlights.
RPM called it a "long awaited set" that "won’t disappoint". The publication noted the title track as a natural highlight while also praising Minnelli's renditions of "Wailing of the Willow" and the medley "MacArthur Park/Didn't We". It further observed that the exposure from her film
The Sterile Cuckoo would bring additional attention to the album. In a retrospective review, William Ruhlmann of AllMusic wrote that "Minnelli handles the newer songs bravely (...), but typically comes to life only when singing the old song 'Nevertheless (I'm in Love with You),' which is more her style". ==Commercial performance==