The former Germany striker became a crowd favourite at White Hart Lane during two stints in the 1990s and he has been touted as the club's next manager - if Redknapp becomes England boss in the summer.
But for now, 47-year-old Klinsmann insists he is fully focused on getting the Stars and Stripes to the World Cup in Brazil in 2014 rather than a Premier League comeback.
The former Germany coach told The Sun: "It's just a wonderful club [Spurs]. But I am extremely proud and privileged to be US national team coach.
"Hopefully we will have, after qualification, a great World Cup in Brazil. Then, in soccer, just like in any other environment, you never know what will happen."
Klinsmann took Germany to the World Cup semi-finals in 2006 on home soil but his club managerial career has been restricted to just one season with Bayern Munich for the 2008/09 campaign.