"Time Don't Run Out on Me" is a song written by Gerry Goffin and Carole King, and recorded by Canadian country music artist Anne Murray. It was released in January 1985 as the second single from the Gold-selling album Heart Over Mind.
The track hit #1 on the RPM Country Tracks chart in Canada in April 1985. and also reached at #2 on the Billboard Hot Country Singles chart in the United States.
The song also appears on Murray's 2007 album ', recorded as a duet with the song's co-composer, Carole King.