The north London side have been in fine form this season and are among the front-runners to win the Premier League title.
Spurs are currently second in the table and five points behind leaders Leicester City heading into the final 13 games of the season.
And former Tottenham manager Redknapp feels that Spurs are more than capable of beating Manuel Pelegrini’s men at The Etihad on Sunday.
Writing in his column for The Telegraph, Redknapp said: “If Tottenham beat City this time, they will put them out of the title race – they would almost be gone.
“Tottenham are solid at the back and they don’t concede many goals, so they will play their normal game and they don’t lose too often away from home now. City are as open as a barn door at the back.
“Apart from Vincent Kompany, they haven’t got any centre-halves who are good enough. They don’t want to defend and all the midfielders want to run forwards and not backwards.
“Even if Tottenham get on the train coming home with just a point, it will be a good point and a bad result for Man City, same for Leicester – if they can come away with a point that will almost put Arsenal out of the running.
“Both of the home teams need to win this week because they’ve got hard fixtures to come and Leicester have got a great run-in, Tottenham have got a great chance. Manchester City and Arsenal need to win.”
Spurs, who finished fifth under Mauricio Pochettino last season, have been in consistent form in recent weeks and have won seven of their last 10 Premier League games.
The Lilywhites’ primary aim this term will be to secure qualification for next season’s Champions League – a feat they have not achieved since Redknapp was in charge at White Hart Lane.
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