The SCA on Friday announced the squad through a media release after its senior selection committee held an online meeting.
The 28-year-old rejoined Smith at the Rajasthan Royals in the 2018 season where he also shares the dressing room with England trio Ben Stokes, Jos Buttler and Jofra Archer.
Former selection committee chief MSK Prasad explains that performing in the domestic circuit is just the first step.
The India team management has mentioned missing a left-arm quick and he ticks the right boxes.
Jaydev Unadkat last played for India in 2018, a T20 International against Bangladesh, and he played his only Test in 2010 and last of his seven ODIs in 2013.
In the second innings, all Saurashtra had to do was to bat time before both captains decided to call off the game and shake hands.
Bengal had the upper hand going into day five after Anustup Majumdar (63) and Arnab Nandi (40 not out) shared an unbeaten 91-run stand in the final session Thursday.
Chirag Jani, who scored a century in Saurashtra's first innings, was named man of the match.