Tom Brady has the most career rushing yards by a quarterback, with 1,043 yards.

who had the most qb rush yards career drew brees or tom brady
BradyBrees1.0k752
NAMEGPRUSH YDSATTRUSH AVGRUSH YDS/GRUSH TDREC YDSRECTRGREC AVGREC YDS/GREC TD
Tom BradyTom Brady3011,0436361.63.525653321.70.20
Drew BreesDrew Brees2877524981.52.62574899.30.31
StatMuse has season-level data for rushing yards going back to the 1932 season.

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