She said Bangladesh has been successful in garnering the international community’s support for a safe return of the Rohingyas.
“Our diplomatic efforts are ongoing to resolve the crisis through bilateral discussions,” Hasina said in parliament.
Bangladesh has already handed over a draft of a deal to repatriate the refugees, which she said was now being discussed and evaluated.
A military crackdown in Myanmar's Rakhine State has driven more than 600,000 Rohingya out of the Buddhist-majority country since late August.
Rights monitors accuse the military of atrocities, including mass rape, against Rohingyas during the so-called clearance operations following insurgent attacks on 30 police posts and an army base.
Myanmar's government has denied most of the claims, and the army last week said its own probe found no evidence of wrongdoing by troops.
Bangladesh Foreign Minister AH Mahmood Ali was scheduled for a meeting with Suu Kyi on Wednesday in Myanmar on the sidelines of the Asia Europe or ASEM meeting.
Hasina said Bangladesh had handed a draft of a deal to Myanmar for quick repatriation of the Rohingya refugees. "Both countries are examining and discussing it."
She said her government was ‘determined’ to make arrangements for the return of the Myanmar nationals to their homeland.
“It was a very timely decision to shelter the forcefully displaced Rohingya population of Myanmar. The world leaders are mentioning Bangladesh with respect and honour for this,” she said.
According to her, Bangladesh authorities are registering around 11,000 Rohingyas daily at the refugee camps in Cox’s Bazar with biometric details.
As many as 599,460 Rohingyas were registered until Nov 20, she said and hoped the work to register them all would end by Dec 12.