The Impossible Dream was the third album by The Sensational Alex Harvey Band, released October 4, 1974.

It was the band's first release to chart, peaking at No.

Between March 26–4 April 1974 at Advision Studios, London, the SAHB had recorded an album with producer Shel Talmy.

It remained unreleased until 2009 when it was released as Hot City.

All tracks composed by Alex Harvey and Hugh McKenna; except where indicated.