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We have investigated proximity-induced supercurrents in single-walled carbonnanotubes in the Kondo regime and compared them with supercurrents obtained onthe same tube with Fabry-P\'{e}rot resonances. Our data display a widedistribution of Kondo temperatures \emph{$T_K$} = 1 - 14 K, and the measuredcritical current $I_{CM}$ vs. \emph{$T_K$} displays two distinct branches;these branches, distinguished by zero-bias splitting of the normal-state Kondoconductance peak, differ by an order of magnitude at large values of $T_K$.Evidence for renormalization of Andreev levels in Kondo regime is also found.

Single-walled carbon nanotube weak links: from Fabry-P\'{e}rot to Kondo regime