However, the report warned that a "cliff-edge" situation could occur as the UK government plans to remove CJEU jurisdiction in the country after Brexit.
"An operational gap between the EAW ceasing to apply and a suitable replacement coming into force would pose an unacceptable risk," the report read.
As for potential alternatives to the EAW, the report examined the case of Norway and Iceland, which are both outside the European Union, but members of the European Economic Area (EEA) and the Schengen Area. In 2014, they concluded an extradition agreement with the European Union, which provides a mechanism to ensure regular mutual transmission of the case law of the CJEU and that of the competent courts of Iceland and Norway.
In March, UK Home Secretary Amber Rudd said that it was the government's "priority" to ensure that the United Kingdom remained part of the EAW arrangements post-Brexit.