The prospect of the Defence Secretary taking the position was raised in talks between Rishi Sunak and the US president on the White Home.
Mr Biden appeared to point Mr Wallace was a “very certified particular person” however it “stays to be seen” who will get the job.
Nato’s present secretary common Jens Stoltenberg steps down on the finish of September.
The final Briton to guide the alliance was Lord Robertson, who held the position between 1999 and 2003.
Requested if it was time for one more Briton to guide the alliance, Mr Biden mentioned: “Possibly, that continues to be to be seen.
“We’re going to should get a consensus inside Nato to see that occur.
“They’ve a candidate who’s a really certified particular person.”
However, he added, there must be “loads of dialogue” at Nato to find out the result of the method.