 Walker only missed two games during his first full season, scoring 12 goals in 38 games, a decent return for an inside forward.He was a regular member of the Anfield club's first league championship win in 1901, and scored the winning goal against West Bromwich Albion on the final day of the season to secure the title.Walker played another 18 times for Liverpool in 1901–02 before returning to Scotland to join Rangers, who had just won a fourth successive domestic title but were also facing financial troubles due to the reconstruction work required on their stadium after the recent 1902 Ibrox disaster.