AllMusic's Jason Anderson awarded Under the Influence three stars out of five, calling it "another confident, if unremarkable Overkill recording", whilst describing the tracks "Overkill III (Under the Influence)", "Shred", "Never Say Never" and "Hello from the Gutter" as the highlights. The album reached No. 142 on the U.S. Billboard 200 and remained on that chart for thirteen weeks, making it Overkill's longest Billboard run. It is also their third highest-charting album to date, with over 300,000 copies sold worldwide as of 1997.