Redknapp had lined up the England Under-21 striker as a deadline-day loan signing to replace Andrew Johnson before his proposed move to Crystal Palace fell through.
He said: "I was going to take Harry on the deadline. I was going to take him that night when AJ looked like he was going to Palace.
"Now, I don't know. Harry's probably the third choice at Spurs now. Whether they'll still loan him, I don't know. They might do.
"Andy Johnson missed all of last season - is he going to stay fit? Bobby Zamora's had problems too.
"That is the only area. Everywhere else I'm very happy with."