Rose made his Sunderland debut in Saturday's 1-1 draw with Liverpool.
The youngster joined the Black Cats on a season-long loan from Spurs on transfer deadline day.
Rose told the Echo: "If there was a chance that I could move here permanently, Iíd snatch it with both hands.
"Nothing has been said of that kind. Iím just here on loan for the season and anything after that would be a bonus.
"The gaffer just asked me to come here on loan and said Iíd play more games here than I would at Spurs which is right.
"Iíve just got to take it game by game and see where it takes me.
"I had interest from a couple of clubs, but once I saw the signings that Sunderland had made, it was a no-brainer and with being closer to my family as well, that helps.
"Adam Johnson has come from Man City. He could have gone to a host of Premier League clubs, but he came here.
"Louis Saha I was with last season and they paid big money for Steven Fletcher. It just shows Sunderlandís intent for the season."