Walker believes a positive result on the south coast could set Spurs up for a bumper points haul over the busy festive period.
"Southampton have a lot of quality players and a few have been called into the England squad," he told the club's official website.
"It will be tough but if we play like we did in the first hour against West Ham, with the same enthusiasm and desire, getting the ball in the box and getting shots off, why can't we go there and win?
"I remember last year we went on a good run at Christmas, so why not do the same this Christmas?"
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