It was first released as a double A-side single with "Now That I Found You" on February 27, 2019, by 604, School Boy, and Interscope Records, to promote Jepsen's then-forthcoming fourth studio album, Dedicated.

In June 2019, a remix of the song by Mansionair received an individual release as a promotional single.

[8] The song is about making a commitment at the beginning of a relationship and the promise to open up if the partner turns out the right one.

[7] On June 28, Jepsen released a Mansionair remix of "No Drug Like Me" to coincide with the launch of the North American leg of The Dedicated Tour.

[13] Music critic Heather Phares of AllMusic highlighted "No Drug Like Me" as one of the best songs on Dedicated.