The 24-year-old has made 70 league appearances for the Bhoys since arriving from Aberdeen in 2007, scoring eight times.
And reports over the weekend suggested Spurs were weighing up a £10 million move for the Scottish international, who has represented his country on 17 occasions.
However, White Hart Lane supremo Redknapp, fresh from seeing his side beat Liverpool on the opening weekend of the Premier League season, insisted that, contrary to reports, he was not north of the border on Saturday to watch Brown in action.
"I'm sure my phone will be ringing this week with one or two looking to buy players off us," he said.
"If we are offered good money for whoever and can get someone else in to improve us, then we will have a go.
"I've read I was at Aberdeen on Saturday looking at Celtic's Scott Brown.
"In fact I was at Chelsea because they played Hull City and we play them on Wednesday. I like Brown but we have not made an enquiry for him."
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