"[5] Heather Phares of AllMusic concluded that the album "has enough strong moments to make it a promising debut from a group with plenty of confidence, personality and potential.

"[3] Ian Gittins of Virgin Media found that Sumner "has spectacularly inherited her father's idiosyncratic musicality, with her husky, masculine tones and mannered whoops and yowls illustrating that she has paid close attention to her dad's vocal repertoire.

"[11] Louisa Emery of The Wharf expressed that "Coco has created an album that shows she is more than a over privileged kid playing popstar, even if it will do little to shake off her Sumner stigma.

"[8] The Guardian's Caroline Sullivan viewed the album as "essentially a mildly promising debut by an artist who can write a tune but not yet with any great distinction.

"[7] At NME, Alex Denney described "Caesar" as a "good-ass pop tune", but stated that "for the most part The Constant boils down to a thin chart gruel, too lumpenly pitched between the Carling Academies and the cattle-grid nightclubs to leave a mark.