Australia took an overall lead of 381 after bowling New Zealand out for 251 in their first innings on day three of the second Test.
The doubt over Fleming was a second blow for the Kiwis, who suffered an embarrassing nine-wicket loss to New South Wales on Sunday.
Batsman Craig McMillan has again been left out of New Zealand's Test side for their tour of Australia starting later this month.
The Kiwi skipper scored 202 out of his team's 545 for 6 on day 2 of the second Test against Bangladesh, who were 82 for three at close.
Fleming, playing a record 87th Test for his country, struck 137 not out in NZ's 338 for three in the first Test against Bangaldesh.
New Zealand skipper Stephen Fleming won the toss and elected to bat in the three-day cricket match against India 'A'.
Veteran New Zealand batsman Ross Taylor doesn't rule out playing the 2023 ODI World Cup but says his form, fitness and motivation level at the end of next year will decide whether he actually manages a place in the squad. The 35-year-old will become the first cricketer in the world to complete 100 games across three international formats when he steps out for the first Test against India at Basin Reserve on February 21.
All rounder Daniel Vettori will captain New Zealand's one-day squad on their tour of Bangladesh later this month.
Rising Pune Supergiants coach Stephen Fleming termed the ICC approved rule for rain-truncated games as 'rubbish' stating that a change is needed at least in the shortest format.
Having served India hostile tracks during the home series, the Kiwi skipper fears being given tit for tat when his team tours India.
New Zealand's captain is wary of a young Pakistan side.
The Kiwis have now automatically qualified for the final of the tournament, which also features Pakistan.
The skipper's seventh Test century enabled New Zealand score 295 for four on day one of the third Test against England.
The New Zealand captain was dismissed three runs short of a century as England fought their way back into the second Test at Headingley.
He hit an unbeaten 274 as New Zealand declared their first innings at 515 for 7 in the first Test against Sri Lanka.
The wicketkeeper, promoted to number three, ensured New Zealand remained on equal terms with England on the third day of the first Test with a mature unbeaten 72. \n\n\n\n
The New Zealand captain is troubled by a groin injury and will miss the four-day tour match against Kent.
Former India bowling coach Eric Simons is likely to join new IPL franchise Pune Supergiants for the upcoming season. A team source told PTI that talks are at an advanced stage with Simons, who previously worked with the Delhi Daredevils in various roles including of a head coach, besides coaching in the Caribbean Premier League. Simons worked with the Indian team for two years before being replaced in 2012. The former South Africa all-rounder will bring a lot to the table at Pune, which is one of the two new teams to feature in the IPL beginning April 9. The team will be captained by Mahendra Singh Dhoni and head coach will be Stephen Fleming, who was with the India captain at the now suspended Chennai Super Kings. Earlier in the week, Hrishikesh Kanitkar was named as the assistant coach of the Pune franchise.
'We are not asking for these types of wickets. We want to see quality cricket and you get quality cricket from good pitches,' the Kiwi skipper said.
The Indian skipper believes his team would come up with a better performance in the one-day series.
New Zealand took a winning 3-1 lead in the five-match series after winning the fourth ODI by eight wickets.
"We seem to have trouble in icing the cake," said the NZ captain.
The Pakistan coach said he was surprised with the defensive tactics New Zealand captain employed during the first Test.
It is the first time that India have made a clean sweep in a Test series in the West Indies.
The New Zealand captain has ruled himself out through injury and will return home for treatment to an abdominal strain.
Stephen Fleming says he is prepared to lead the side in the ODI series despite a threat to the team received by New Zealand Cricket.
The Kiwis were desperate for a win to keep their chances of getting into the final alive.
