As Finance Minister Ken Ofori-Atta said he expected "full tendering" from banks and other financial institutions that hold Ghana's domestic bonds when the program closes on Feb. 7.
The finance minister's offer came as a group of over-60s were protesting the debt exchange outside the finance ministry in Accra.
Ghana launched a debt swap plan in December as part of attempts to address a spiraling economic crisis, but it has struggled to convince bondholders to register, in part due to a lack of clarity over its terms and concerns about profitability.
The West African nation has a staff-level agreement with the International Monetary Fund for a $3 billion rescue package that will only be approved if it undergoes a comprehensive debt restructuring.
