The England international has been linked with Sunderland.
When asked whether Crouch would leave Tottenham this summer, Redknapp told the BBC: "I doubt it. Crouchy is a good player. I like him.
"He is a great lad and I love him as a fella.
"He is not one I'm looking to shift. We are looking to bring a striker in but he is not one of those that we are looking to sell if we can help it."