Spurs head into the game looking to build on their impressive 4-1 win over Sunderland in the Premier League at White Hart Lane last weekend.
Tottenham secured a 2-0 victory over Leicester City at the King Power Stadium on Wednesday night to book their place in the fourth round of the FA Cup.
And Gray is tipping the Lilywhites to net a narrow 1-0 win against Alan Pardew’s Eagles on Saturday.
Former Everton man Gray wrote on his blog for Paddy Power: “Spurs have a string of winnable games coming up, starting with Palace who have been struggling to score these last few games.
“Spurs are coming off the back of a strong week with the FA Cup win, so Spurs again for me.”
Spurs have been tipped by many to be potential outsiders for the Premier League title this season and head into Saturday’s game in fourth place in the table.
Mauricio Pochettino has been tasked with guiding the Lilywhites to a top-four finish after they finished fifth last season under the Argentine’s guidance.
MORE: Latest Man Utd news
MORE: Latest Arsenal news
MORE: The latest football news