Some 10.7 percent of respondents said in late August they would vote for Skvernelis.
Economist Gitanas Nausėda continues to top the list of people seen as potential presidential candidates with 19.7 percent, followed by Kaunas Mayor Visvaldas Matijošaitis in second place with 14.4 percent.
Nausėda topped a similar poll in June with 20.6 percent, followed by Matijošaitis with 10 percent and former diplomat Vygaudas Ušackas with 6.7 percent.
In the latest poll, Ušackas fell to fourth position, followed by MP Ingrida Šimonytė at number five.
Some 13.9 percent of those polled said they did not know who they would vote for and would not vote at all.
The opinion poll was commissioned by Delfi.lt and conducted by Spinter Tyrimai on August 24-31.