The Serbian world number nine, playing his opening game of 2012 following a first-round bye, had too much quality for his Indian opponent, breaking service four times on his way to a 6-1 6-3 win.
Next up for Tipsarevic is a meeting with Belgian wild card David Goffin, who rallied from a set down to see off experienced German campaigner Andreas Beck 4-6 6-4 6-2 in two hours and 18 minutes.
Second seed Nicolas Almagro, meanwhile, is in the unusual position of preparing for a quarter-final despite not hitting a ball in anger in India this week.
The Spaniard was handed a first-round bye before being gifted a walkover victory in his second-round clash with Steve Darcis after the Belgian pulled out with a shoulder injury.
When Almagro finally does take to the court, he will face Japanese qualifier Yuichi Sugita, a 7-6 (7/5) 6-4 victor over Yen-Hsun Lu.