The visitors certainly had the best of that first half with Paul Robinson saving sueprbly from Andy Johnson, Aki Riihilahti failing with two free headers and Vassilis Lakis hitting another clear shooting chance wide.
But we took a grip of the game after the break and when Jermain Defoe opened the scoring after 54 minutes a sixth-successive league win looked on the cards.
It wasn't to be though as Johnson conjured an equaliser out of nothing after 78 minutes and the spoils were shared.
Dowie said: "We had clear opportunities in the first half and it is not often that you come to a place like White Hart Lane and dominate possession.
"We played very well, dictated the play and we needed that goal before half time - but we didn't get it.
"At half time we talked about maintaining our resolve, but we gave away a few silly set-pieces that gave Spurs a bit of momentum and Defoe did what he does best. He is a master of his art."
Naturally, he also had praise for Johnson. "Andrew has scored goals for two seasons in a row and I see no reason why he can't continue to do so throughout his career," added Dowie.
"People talk about Van Nistelrooy, Rooney and Henry, but this season Johnson is up there with them all."
Palace boss Iain Dowie had similar thoughts to Martin Jol after Tuesday's draw - reflecting that his side needed to capitalise on their first half display.