This was Carrack's first all-covers album as a solo artist; he had previously helped create a hard rock covers album as the front man of the ad hoc 1993 quasi-supergroup Spin 1ne 2wo. Groovin' has a different feel from that project, as this album features a selection of Carrack's favourite Motown, R&B and pop songs of the 1960s and early 1970s. Carrack produced the album himself, and played virtually all of the instruments.
There are several different issues of the album, including a 13-track version, a 14-track version, and an 18-track version known as Still Groovin' . This last version of the album was issued in 2002, and also features a DVD of live performances and videos.