Bale, 22, has long been linked with a move to European giants Barcelona and it was reported on Saturday he would consider leaving White Hart Lane were he not playing in the Champions League next year, something Redknapp has played down.
"He has got to worry about that at the end of the year," he said.
"He has got a long contract at the club, I don't think he will be going anywhere, he isn't going to find too many better clubs than Tottenham."
The 65-year-old Redknapp believes Bale would remain at the club even if he were to depart in the summer to take over as manager of England.
"I think the chairman would want to keep him and you need to keep your best players," he said.
"We need to strengthen the squad in the summer there is no doubt about that, two or three quality players if you want to push on next year and mount a challenge."