The German winger has been linked with a return to the Premier League.
According to Kicker, both sides might be interested in bringing the 25-year-old winger - who joined the German side from Chelsea in 2015 - back to England during the off season.
Schurrle was shipped out by manager Jose Mourinho in the January transfer window of that year, though few would brand him a Chelsea flop, having struggled for regular chances under the Portuguese.
However, his Wolfsburg future is now considered up in the air as sporting director Klaus Allofs plans a summer revamp, with the World Cup winner, who has netted seven times in 40 Bundesliga appearances since returning to Germany, thought to be in the firing line
Die Wolfe, who sit 10th in the Bundesliga, have three league games to go, and Schurrle insists that is his only focus at this moment in time.
"I have not heard anything about it. It's not my style to join in with the speculation," he said to Bild, via ESPN.
"The European Championships are coming up. I want to play well in the three final matches for Wolfsburg -- that's my focus.
"We'll see what happens after that. The sporting director has talked about a squad overhaul, and allegedly I am part of that. You need to see what happens."
Schurrle, however, is unlikely to come cheap, by virtue of the fact he has another three years to run on his existing contract with Wolfsburg.
He has plenty of admirable qualities and Spurs and Liverpool might well look to utilise them for next season.