"The chairman's been great: he's been excellent, but we're not looking to spend £10million on a striker," said the Rangers manager.
"We've got Charlie and Bobby (Zamora), so it's an area that we're looking at."
Redknapp revealed Austin only came through two training sessions ahead of Saturday's encounter, as he continues recovery from hamstring trouble.
"He's had a hamstring (injury) all week, Thursday was the first time he's trained for two weeks," said Redknapp.
"So to get 60-odd minutes out of him today was a bonus.
"The win was important for us; we worked very hard today so that's well-deserved."
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