Prime Minister Shinzo Abe has conditionally agreed to an opposition demand for him to attend an ad hoc Diet committee session to address allegations of favoritism, the Liberal Democratic Party said.

The agreement comes after his conservative party previously rebuffed the request.

"After I told the prime minister we had refused, he said he is willing to appear at the Diet himself and give an explanation," LDP Diet Affairs Committee Chairman Wataru Takeshita told reporters Thursday, adding that the session is likely to take place next week or later.