Irregular migrants who agree to go back home have their travel costs paid for by Lithuania and receive an additional 300 euros.
Gudzinskaite believes that the number of migrants who opt to return to their home countries will gradually increase.
"We have only recently started informing them about this possibility, and they actually learned about that a few weeks or a week ago, so we cannot expect all of them to take in and use that information immediately," she said. "I think this is a good number to start with."
Almost 2,000 people have applied for political asylum so far.
"Each application is processed individually, but based on the profiles, I predict that around 2-3 percent of all migrants will probably be granted asylum, while all other claims are likely to be rejected," Gudzinskaite said.
Over 4,100 migrants have crossed into Lithuania from Belarus illegally so far this year, compared to just 81 in all of 2020.
Lithuania has declared a state-level extreme situation over the unprecedented migration influx which it says is being orchestrated by the Belarusian regime.