Where a hit is received by a Member State from Eurodac that can assist that Member State in carrying out its obligations necessary for the application of the grounds for refusing admission under , the Member State of origin which had previously refused to admit a third-country national or a stateless person should promptly exchange supplementary information with the Member State that received the hit in accordance with the principle of sincere cooperation and subject to the principles of data protection. Such an exchange of data should allow the Member State that received the hit to reach a conclusion on the admission within the time limit set in that Regulation for concluding the admission procedure.