Both teams capitalised on Manchester United's 2-1 defeat at Huddersfield Town to gain ground in the title race, with Spurs now behind second-placed United on goal difference.
"When you talk about Tottenham you need to look at the players they didn't have playing today, Moussa Dembele, Eric Dier and Victor Wanyama," former Spurs midfielder Redknapp told Sky Sports News. "It didn't have any effect on the team whatsoever.
"I don't know what effect Manchester United's result on Saturday will have on them mentally but I think Tottenham and Man City will go head to head."
Up next for Spurs in the Premier League is a trip to Manchester United on Saturday, while Man City head to West Bromwich Albion on the same day.