Newcastle United drew 3-3 with Manchester United in mid-week.
Newcastle went into the break 2-1 down against the Red Devils, but McClaren had seen enough to be encouraged by.
As a result, the former England boss took an encouraging stance with his players, and Dummett feels that his team talk paid dividends.
“At half-time the manager said to us we were playing really well, even at 2-1 down. There was nothing in it," the Welsh international defender said.
“Man United were fortunate to get the penalty and so it was unlucky to be 2-1 down.
“He told us to stay confident and keep going all the way to the end. We done that by coming back twice from behind.
“It showed that the character and fight is there.”
Newcastle had fallen 2-0 behind against United when Wayne Rooney and Jesse Lingard struck for the visitors.
However, they grabbed one goal back before the break when Georginio Wijnaldum tucked home a volley with great skill.
Newcastle were then on the front foot, and they got their reward when Aleksandar Mitrovic grabbed an equaliser.
At that point it seemed that McClaren’s men were set to go on and complete the comeback, but Rooney curled home a screamer to put the Red Devils back in front.
Newcastle showed great fight to respond again, and Paul Dummett’s late equaliser provided them with a share of the spoils.
Newcastle are now one point behind safety, but they have slipped down to 19th place in the Premier League table.