Manchester United would not go into the break behind however and hit back in first half stoppage time through Marcus Rashford, who connected with a Paul Pogba header.
The Red Devils were hoping to maintain their 100 per cent start to the season at the bet365 Stadium, but fell behind with two minutes left in the first half when Stoke summer signing Eric Maxim Choupo-Moting scored.
"I'm not satisfied with a point because we were the team closer to winning", he told BT Sport. One team wanted to win, another team wanted to draw, but the team that wanted to draw fought hard for that.
"But they did well and the team were physically very strong and they probably deserved the point. We were never in any danger of being overrun or overcome by them and that's great credit to us".
"With one more goal we win 3-2 but without the mistake at the corner we win 2-1 and Lukaku's miss does not matter".
But sources say that Mourinho was incensed Hughes had asked referee Neil Swarbrick to send him to the stands after Mourinho had entered into the home technical area before telling the United boss to "f-- off".
"I pushed him because he was in my technical area", Hughes admitted. I prefer not to answer the question because your question is really a bad question. It's a bad question.
Mourinho refused to be drawn on the altercation with Hughes and his decision not to shake hands at the end of the game.
"Maybe it's because it could be viewed as a negative result for him". Sometimes managers of top six clubs don't take negative results too kindly.
"So I don't know what the stats are, but I'd argue that in general play they played more long balls than we did because they've got that threat and that's what they try to exploit".