He was one of only a few Spurs star names to start the match, with Dele Alli, Christian Eriksen and Son Heung-min all left on the bench. Victor Wanyama, back from injury, made his first start since August.
Mauricio Pochettino's side are now one step closer to ending their 10-year wait for a major trophy.
Fourth round ties will be played across the weekend of 26-29 January.