Spurs host the Dutch youngsters at their new Tottenham Hotspur Stadium on Tuesday night, in the battle of Europe’s two surprise packages.
The north London side have suffered a blow to their first-leg preparations, with top striker Harry Kane ruled out with injury and in-form forward Heung-min Son suspended.
Without their two main sources of goals, some have suggested a draw would be a good enough result to take to Amsterdam for the second leg next Wednesday.
But former manager Redknapp says Tottenham should feed off the energy of their fans and be on the front foot right from kick off.
“They’re at home in the first leg, so they will want to have a go tonight,” Redknapp told Tuesday’s Alan Brazil Sports Breakfast.
“My philosophy would to be get after them early from the first whistle. Right from the off, get after them.
“They’re obviously missing Harry and Son, two big losses, but I’m sure whoever they play will step up to the plate tonight.
“It’s going to be a great game and the crowd will be absolutely flying. These European nights at Tottenham are incredible, the atmosphere will be amazing.”
Kane and Son are a huge miss for Spurs, but Redknapp believes they could have a secret weapon to stun Ajax.
The Dutch outfit have shocked just about everyone to reach the final four, after dumping out Juventus and defending champions Real Madrid en route to the semis.
They also made it out of a group, unbeaten, which featured Bayern Munich and Benfica.
But, having enjoyed success against a host of Europe’s most technically-gifted teams, Redknapp believes Ajax’s youthful side could be taken aback by a more direct approach.