Vettori is back to playing days after undergoing Achilles tendon surgery in England in June. Initially, his comeback was expected to be against India in January but with the form he has shown in domestic games, selectors would "welcome" an earlier return.
"It's over to Dan when he's ready. He knows his body but we would welcome his availability sooner rather than later, of course. It depends entirely on his recovery," national selector Bruce Edgar was quoted as saying by stuff.co.nz.
Vettori took six for 95 in a Plunket Shield match against Auckland, and one for 28 and three for 33 in Northern Districts' Twenty20 matches last weekend.
The-34-year-old played the last of his 112 Tests in July 2012.