Mr. Chan, who is now in a Hong Kong prison on a money laundering conviction, says he has decided to surrender himself to Taiwan after his release, the government of Hong Kong said in a statement on Friday. The statement added that the authorities would assist Mr. Chan in doing so.

Taiwan’s Ministry of Justice, however, called on the Hong Kong authorities to keep investigating Mr. Chan. In a statement Thursday, it noted that both the victim and the alleged killer were from Hong Kong and said other aspects of the crime may have happened in the city, including the planning of the killing.

Hong Kong’s chief executive, Carrie Lam, said last month that she would withdraw the bill, but protests have morphed into broader demands that include expanding direct elections and an investigation into the police’s use of force against demonstrators.

A march is planned in the Kowloon area of Hong Kong on Sunday to press for those demands, although the police have officially objected to it. Protesters also plan to call for a reorganization of the police force and an end to the ban on masks that Mrs. Lam recently enacted, using emergency powers, in an effort to tamp down the demonstrations.

In its statement Thursday, Taiwan said it would provide evidence in Mr. Chan’s case on a “foundation of equal status, dignity and mutual benefit.” Taiwan had previously said it would not agree to Mr. Chan’s extradition under the contentious legislation, on the grounds that the bill would have treated the self-governed island as a part of China.