Sajid started acting as a child appearing as the younger version of Sunil Dutt's character Birju in Mehboob Khan's Academy Award-nominated Hindi film Mother India (1957).

Khan went on to achieve fame in the United States with a co-starring role alongside Jay North in the 1966 film Maya.

[6] The film's success led to a television series of the same name airing on NBC from September 1967 to February 1968 and lasting 18 episodes.

The show led to Sajid becoming a "teen idol" for a short time, appearing on the cover of popular magazines.

In 1968, he guest-starred in an episode of the television series The Big Valley, and appeared in the music variety show It's Happening as a guest judge.

It is reported that, around this time, Khan opened a retail store with a small workshop in the back which made costume jewellery.