A bench of justices B S Chauhan and Dipak Misra refused to hear the plea of a film producer, who sought more time for Dutt to surrender in order to complete two films which are under production.
Dutt, who was convicted under the Arms Act and was sentenced to five year jail term, is supposed to surrender before jail authorities on May 16 to undergo his remaining jail term. He has already undergone one-and-a-half-year jail term.
53-year-old Dutt was earlier granted four weeks more time to surrender to undergo the remaining jail term.
The apex court had on March 21 upheld his conviction in the 1993 Mumbai serial blasts case which it said was organised by underworld don Dawood Ibrahim and others with the involvement of Pakistan's ISI.
However, the apex court had reduced to five years the six-year jail term awarded to Dutt by a designated TADA court in 2006 and ruled out his release on probation, saying the "nature" of his offence was "serious".