Jon Wall of Melody Maker noted that "throughout Come into Our World The Emotions' superb vocal control, range and harmonic sense are displayed to maximum effect". He also proclaimed that "Come into Our World is one of the most appealing albums I've heard since Off the Wall. I can't get the album off the turntable and I don't want to". Fred Murphy of Variety called the LP "a slick smooth production and a refreshing change of material for the group." Bill Rhedon of The Baltimore Sun found that "Like many of the 'Sound of Chicago' groups, the Emotions don't rely on audio gimmicks or super-polished stage presence for their success. Their only 'secrets' are great songwriters, who provide three sopranos with excellent material, and their musicians. Beyond that it's simply steady, unvarying 'Coming at You, Soul'. The nice thing about the Emotions on record is their consistent and even performance."
