The possibility of using a liquid lithium primary target for the 14-MeV intense neutron source (INS) based on muon-catalyzed fusion (CF) (the CF-INS) is discussed. The description of the thermohydraulic and mechanical analysis that suggested the proposed geometry is presented. Particular attention is given to the thermal parameter evaluation since these quantities have a great influence on the choice of target design. According to the calculations, the lithium primary target variant can be considered for future CF-INS realization.