Jake Livermore’s first-half strike meant Grant McCann’s side’s three-game winning run in the Championship came to an end at the KCOM Stadium.
Burke felt defeat on the Tigers was harsh and insists the side will come back stronger after the international break.
“It was a disappointing result on Saturday,” he said.
“We started the game pretty sloppily and were maybe guilty of showing them a little bit too much respect in the first half.
“We were much better in the second half though and that was great character shown by the lads. We recovered from the sluggish start and gave the league leaders a real game after the break.
“We didn’t feel there was too much in it between the two teams and that is a positive for us to take from the game despite the end result. It just proves what a top team we can be.
“We have got good players in this squad and everyone is determined to get the results we need to challenge for the top six. We believe in ourselves and we believe we can compete.
“The last few games have been really positive – playing against good teams and picking up plenty of points.
“Yes, there is that element of disappointment that our winning run has now come to an end but we’ll pick ourselves over the international break and get ready to go again heading into what is a busy festive period.”