Giannelli Imbula levelled for the Potters on 55 minutes before Mame Biram Diouf came off the bench to head home a late winner for the home side which prompted a downcast response from Bilic who felt there certainly could have been a more positive result for his side.
"I'm gutted, given the way we played," he said.
"I would like to congratulate Stoke because they didn't steal it from us - they just took their chances.
"One part of me is really disappointed, gutted, angry - but the other half is like I can't be unhappy after these games because the way we played, it was like we were different class, after we scored the goal until the end of the first half.
"We should have been more than one up. We said at half-time that if it was basketball we would have been 15 or 20 points clear, but it is football.
"Then they equalised and after that, there were three or four chances and you are really expecting the ball is in, but it just didn't want to go in.
"Then, like so many times in football, you concede a goal. So it is just one of those games that makes you really frustrated."