Holding another referendum on the EU would "break faith with the British people", Theresa May will warn MPs, BBC reports.
Former PMs John Major and Tony Blair are among those urging a new referendum if MPs cannot agree on a way forward.
But the prime minister will argue that it would do "irreparable damage to the integrity our politics" and would "likely leave us no further forward".
Last week she called off a Commons vote on her Brexit deal, admitting it was likely to be heavily rejected.