A 1-1 draw between AC Milan and Barcelona in the other group match leaves them two points behind the Italians in the table.
Their next match is the return game with Ajax in the Amsterdam ArenA and Kayal believes they go into that game with their aspirations of reaching the knock-out phase still intact. "The dream is alive to qualify," said the Israeli. "Step by step we need to look at these games and try to win them. We're now just looking forward to the next game. We hope a few players that are out injured will come back for the game over there. That will make us even stronger. We feel we can go there and do a good job and hopefully win the game.
"This was a great victory. In the last two games we played well against Milan and Barcelona but didn't get what we deserved. We worked hard like a team tonight and we are very grateful for the three points."
Kayal, who replaced the suspended Scott Brown in midfield, was pleased to have scored his first goal in a year but preferred the focus to be on what the team achieved as a collective. "I'm so happy to score but the important thing is the three points. I don't know if it was going in anyway but I just saw it go in the net."
Celtic again had Fraser Forster to thank, the goalkeeper making some key saves throughout the match, most notably from Thulani Serero just moments before Kayal scored Celtic's second. "I was asked after the game with Barcelona how good Fraser was and tonight the answer is the same," Kayal said. "He's absolutely amazing. He's a big, big player for us. He just proves himself game after game. He played a big part in us getting the three points tonight. We're so glad this goalkeeper plays with us."
Forster modestly played down his own achievements but echoed Kayal's belief that Celtic can still make it out of the group. "It's nice to make saves but that's my job," he said. "It's good to do my bit for the cause. It's a great result but we need to pick up a few more [points] away from home and we've got a home game as well. We'll go to Ajax and it's important we can add to that but it's a great step on the ladder. It's important we play like we did tonight and if we do that we've got a great chance.
"I'm not sure if we need to win but we need to get a positive result. We'll go and be positive like we were tonight. We had great results away from home last season, so hopefully we can do the same again."
Kayal, Forrest and Teemu Pukki all made their first starts in the group phase and Forster felt that showed the depth of the squad. "We're a young team but we've played a lot of European football. We've shown we can play at this level. There's a lot of confidence in the team and we've got a fantastic squad. When a player drops out another steps in and does a fantastic job. That's a great confidence boost."