Lawmakers from Park's own party had backed moves to impeach her this Friday, but now want the issue discussed in parliament before holding a vote, likely to be scheduled a week later.
Park said yesterday she would let parliament decide her fate following accusations that Choi Soon-Sil -- a secretive confidante dubbed "Korea's Rasputin" -- elicited more than $60 million in payments from some of the country's top firms, including Samsung.
"Once lawmakers come up with measures to transfer power in a way that minimises any power vacuum and chaos in governance, I will step down," she said in a live video address.
Critics said the statement was a calculated bid to delay impeachment, by splitting opinion on her fate among her own party and the three opposition parties.
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The opposition insists Park must step down immediately and unconditionally, while loyalists call for an "orderly departure".
While she retains the presidency, Park cannot be charged with a criminal offence except insurrection or treason, but she could be charged once she steps down.
Massive weekly protests have been intensifying over the past month, with up to 1.5 million people braving freezing temperatures in Seoul Saturday to demand Park's resignation, according to organisers.
Activists called for a sixth weekly protest on Saturday in central Seoul, despite Park's statement that she would be willing to cede power.
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