He said: "It's a very difficult decision, not as clear-cut as it has been in previous years, but I am sure Nick will make the right one.
"I have to show form to have an opportunity. I don't think I necessarily have to win." Darren Clarke is favourite for one pick and he reached halfway on one under after a level-par 73 today.
Rose, eighth on the points table and almost certain of a Ryder Cup debut, returned a 71 to be two under overall.
Ninth-placed Hansen handed in a second successive 71 to be in a share of fourth place on four under, one behind Bradley Dredge, Robert Rock and overnight leader Gregory Havret.
But Hansen has been nursing a sore right arm and he clearly felt it playing out of the rough on the long 12th.