The Italian this week called on his players to end the season "with dignity" and threatened to cut short the number of holidays taken by squad members who are not pulling their weight.
Dawson is sure the Black Cats will be giving it their all as a result.
"I don't think it will make a difference (that they are safe) with Paolo Di Canio," the centre-back said.
"He will have them riled up. He will want to get 110 per cent commitment from them.
"They will want to put on a performance and we have to make sure that we stop that and play the way we know we can.
"The atmosphere will be great. It's the last game of the season and hopefully we will get the three points and it will be good enough."