In March 1966, the original drummer John Steel left the band The Animals after the release of their hit single "Inside-Looking Out". Jenkins joined the band for the albums Animalism, Animalization, and for the hit singles "Don't Bring Me Down" and "See See Rider".
The first incarnation of The Animals was then dissolved. Animals lead singer Eric Burdon then formed Eric Burdon & The (New) Animals", with Jenkins as the only other holdover from the previous line-up. Along with studio musicians, the two recorded the album, Eric Is Here. In March 1967, a real new group formed under this title, again with Jenkins as drummer, which became a practicioner of psychedelic rock. It released a series of albums and hit singles, the latter including "San Franciscan Nights", "Monterey" and "Sky Pilot". This second incarnation of The Animals disbanded by 1969.