The prosecution team's spokesman Lee Kyu-chul said Sunday that the Samsung vice chairman and two other group executives also will be summoned Monday morning.
Investigators had sought to arrest Lee when they summoned him last month, but a court ruled there wasn't enough evidence to justify Lee's arrest at that point. A prolonged investigation into the latest political scandal could potentially derail succession plans at Samsung.
Lee Jae-yong, Samsung Electronics vice chairman and the son of the Samsung group chairman Lee Kun-hee, has been quizzed multiple times over his role in the scandal that has rocked the nation. A Seoul court rejected the arrest warrant for the vice chairman on January 19.
The special prosecutor has focused on South Korea's biggest conglomerate, accusing Lee Jae-yong in his capacity as Samsung chief of pledging 43 billion won ($37.31 million) to a business and organisations backed by Park's friend, Choi Soon-sil, in exchange for support for a 2015 merger of two Samsung companies. The prosecutor's request to arrest Mr Lee was rejected by a court in Seoul on Jan 19.
The funding included sponsorship for the equestrian career of Choi's daughter, who is under arrest in Denmark, after being sought by South Korean authorities.
Ms Choi is on trial for charges including corruption and coercion.
The scandal has led parliament to impeach President Park Geun Hye.
Ms Park denies wrongdoing but has apologised for the way she managed her relationship with Ms Choi, who also denies committing criminal offences.