The 64-year-old underwent tests on Tuesday ahead of the operation, which will hope to unblock one of his arteries.
The side will now be led by assistant manager Kevin Bond and first-team coach Joe Jordan, both experienced members of Redknapp's back-room staff.
Redknapp said: "About a year ago I needed to take heart pills and I am still taking them regularly.
"I am absolutely fine and have no worries about my health but this game can make the most mild-mannered of people explode as when you are sitting on the bench you get eaten up inside from first to last whistle.
"After a game I cannot sleep, there is too much going on in my head as I go over moves, think about gameplans, think about which player has had a good or bad game – and it's worse if you lose."
Redknapp led from the touchline against Queens Park Rangers on Sunday, but will be absent for mid-week trip to Russia.
Spurs currently lie top of Group A after victory over Kazan at White Hart lane a fortnight ago.
A second successive win over Kazan will assure passage to the last-32 of the Europa League, in a competition that Redknapp has refused to field his big-name players.
The 64-year-old isn't expected to be the only omission from the Tottenham ranks, with Gareth Bale, Luka Modric and Ledley King all likely to be left-out, while Rafael Van der Vaart and Brad Friedel's omission from the squad means they're unavailable for selection.
With Tottenham's No.1 priority being to qualify for the Champions League, Redknapp has opted to blood his youngsters in the group stage of the Europa League, with the likes of Tom Carroll, Iago Falque and Jake Livermore all handed opportunities to impress this far.