Speaking to The Sun, Rose was critical of the club's transfer policy and wage structure, and admitted that he would be open to a move elsewhere.
Reports suggest that his revelations have led to dressing room unrest, but Dawson is adamant that the incident will not impact on results.
"Danny is a great lad and I played with him for many years at Tottenham," he told talkSPORT.
"Danny is not scared of voicing his opinion and he has said [sorry] about the timing, two days before the first game of the season. But looking at Spurs [last weekend], certainly when Newcastle went down to 10 men,
"The way they play when Christian Eriksen gets on the ball with Dele Alli running in behind... when they get into a flow, they're a joy to watch."
Spurs opened their Premier League account with a 2-0 win at Newcastle, with goals from Alli and Ben Davies.