The 24-year-old goalkeeper has been one of the stars of this World Cup for England.
On Saturday, the Everton star pulled off two brilliant saves in the 2-0 win over Sweden as Gareth Southgate's side progressed into the semi-final of the competition.
In the second round against Colombia, the former Sunderland man made arguably the save of the tournament thus far by tipping Mateus Uribe's ferocious volley past the post late on.
Pickford, who only stands slightly over 6 foot tall, previously came in for criticism over his height, but Redknapp reckons that his constant concentration compensates for this perceived weakness.
He told The Daily Mail: "This display confirmed why he is my goalie of the tournament so far — and that you don't need to be 6ft 6in to be a top keeper! It's his concentration which has impressed me most.
"He's had a few games with not a lot to do and still pulled off important saves when it mattered. Given his inexperience — and that he's just a little over 6ft — he has taken us all by surprise with his fearless displays."
Pickford, who earns £60,000 per week [Silly Season], cost the Toffees a cool £30 million last summer, which seemed excessive at the time, but 12 months on it looks pretty obvious that it's an absolute bargain.
Whatever happens with England in this competition, Pickford's value has skyrocketed already and it wouldn't be a big surprise if Marco Silva was inundated with enquiries from elite clubs.