Lee previously had been scheduled to visit Japan next week, but that date has been pushed up because of reports North Korea may be preparing to test its long-range ballistic missile.
Kawamura told reporters the two leaders will discuss ways to cooperate on their responses to a U.N. Security Council resolution calling for tightened sanctions against North Korea for its nuclear and missile tests last month, Kyodo reported.
"As South Korea is one of our most important neighbors and shares basic values with Japan, it is necessary for us to cooperate to boost future-oriented and mature partnership through shuttle diplomacy," Kawamura said.
Lee and Aso last met in January.
Penelope Cruz named 2013's 'Best Body' by Fitness magazine
Susan Sarandon: I was stoned at almost every awards show