The Toffees were outplayed by Spurs in the first 45 minutes, giving up plenty of possession, leading to criticism from their manager, but the hosts pushed harder for a winner after the break.
"To be honest, it could have gone either way. In the first half they were the better team," McCarthy told the club's official website.
|10/1||Everton are 10/1 with PaddyPower to beat Crystal Palace 3-0|
Everton missed the chance to climb above their arch-rivals, Liverpool, into second but McCarthy has already turned his focus towards a difficult encounter with their next opponents, Crystal Palace.
Asked about travelling to Selhurst Park on Saturday, McCarthy remarked: "It's a tough place to go and it's not going to be easy.
"They are looking to get a new manager and improve all the time but we will have a right go at it.
"Crystal Palace will come at us and we will work on that this week but we need to go there and try to get three points on the board."