Spurs overcame Borussia Dortmund in the last 16 by a 4-0 aggregate scoreline, a 3-0 triumph at Wembley being followed up by a solid, professional 1-0 win at the Signal Iduna Park.
On Friday, the Champions League draw put them up against their Premier League rivals, who top the table and sit 13 points ahead of Mauricio Pochettino's third-placed side.
The tie concerned some Tottenham fans, with a number of pessimistic reactions on Twitter given the calibre of the Citizens, though there were also calls for confidence and optimism.
In the Daily Mail, Keown stated that he had tipped Man City to win the Champions League outright from the start of the season, but he stressed that it wouldn't be easy for them.
"I’ve said that City will win the competition so I expect them to get the job done against Spurs but it won’t be easy," he said. "You only have to look at the contrasting workloads for the two teams. If Brighton win their FA Cup quarter-final on Saturday, Tottenham will have their feet up the weekend before they are due to play the first leg.
"City have a gruelling run of six games in just 18 days in which they will play Spurs three times, a potential FA Cup semi-final, a Manchester derby at Old Trafford and a tricky trip to Crystal Palace."
The quarter-final first-leg could potentially be one of Tottenham's first games at their new stadium on 9 April, before the return leg on 17 April and then they'll meet again, this time in the Premier League at the Etihad Stadium on 20 April.