The one-to-one record between the world number 71 Sania and her Belarussian rival is tied 1-1.
Sania had beaten Govortsova in a qualifying event in 2007 and the Belarussian settled the score with a win in Doha next year.
If Sania clears the first hurdle, she may run into 10th seed Italian Flavia Pennetta in the second round.
Sania has not done well in the singles events of the Grand Slams this year, reaching the second rounds of the Australian Open and Wimbledon and falling at the very first hurdle in the French Open.
Although she has tasted some success in the doubles events, becoming the first ever female player of the country to win the mixed doubles title of the Australian Open along with compatriot Mahesh Bhupathi.