A spokesman for Bronislaw Komorowski broke the news on Radio Poland, adding the second round of voting would take place July 4 if no party garners 50 percent support, the Poland.pl Web site reported.
Komorowski, who is also a candidate, advanced the voting dates as a result of the death of President Lech Kaczynski in an April 10 air crash in western Russia that killed him and 95 other government, military and banking officials as well as his wife.
The president's 61-year-old twin brother and former prime minister, Jaroslaw Kaczynski, hasn't indicated whether he will run for the conservative Law and Justice party, the report said.
Candidates for the presidency have until May 6 to gather 100,000 signatures to be allowed on the ballot, the report said.
Swim Week Miami Beach 2014 [PHOTOS]