The Irishman dismissed the notion that Spurs are a one-man team, but expressed optimism about the game following consecutive wins for the Toffees.
"They've got great players in the squad and players coming off the bench as well, so I don't think we are going to go into the game just focusing on Gareth Bale," Sky Sports News quotes Gibson as saying.
"It took them a while to get going but they are in great form at the minute. But if we play the way we have been and the way we did against Manchester City, I think we will do well."
Everton have won their last two league matches on the bounce, recording home victories over champions Man City and Stoke City.