A win over Pakistan in Sydney would take New Zealand to a final against either England or India in Melbourne but Southee said the Black Caps, who lost to Australia in last year's final, were taking it one game at a time.
New Zealand secured a one-day international series win over Bangladesh this week with a match to spare and the dead rubber will be played on Saturday.
Australia dismissed New Zealand for 302 in the second innings to win the second Test by 176 runs. Man of the match Mitchell Johnson claimed 6-73 for a total of 10 in the Test.
Left-arm spinner Taijul Islam claimed a match haul of 10 wickets to bowl Bangladesh to a comprehensive 150-run victory against New Zealand in the opening Test in Sylhet on Saturday.
"He has indicated he's available for the World Cup," Stead told reporters.
India's Shreyas Iyer once again dazzled on his debut Test, hitting his second 50-plus score of the match to put his team in charge of the opening Test against New Zealand on Sunday.
Captain Kane Williamson and Ross Taylor combined to put New Zealand in a strong position in the first Test before India struck back late on Saturday to remove both just as their partnership threatened to take the match away from the tourists. Images from Day 2 of the first Test between New Zealand and India in Wellington on Saturday.
All-rounder Ewen Thompson was the only new face named in New Zealand's 13-man squad for two Twenty20 matches against the West Indies this month. Thompson, 29, has taken 16 wickets at an average of 17 and an economy rate of 6.97 playing for Central Districts.
After New Zealand thrashed India by ten wickets in the first Test in Wellington on Monday, former cricketer VVS Laxman said the visitors were outplayed in all departments. This was New Zealand's 100th Test match win, while on the other hand World No 1 India suffered their first defeat in the ICC World Test Championship.
Fast bowler Tim Southee will lead the Black Caps in the five matches against England starting in Christchurch on November 1.
Brydon Carse took six for 42 before England comfortably chased down their 104-run victory target in the first Test against New Zealand
Southee is so impressed Umesh Yadav's bowling in IPL 2022, that the New Zealander is backing him to wear the India jersey again
Rohit Sharma wilted under the traditional Australian tactic of mentally breaking down the opposition captains
The first T20 game between India and New Zealand will be held in Jaipur beginning 1900 IST.
'So there was some good fight there and they got some rewards late in the day. So yeah, I think both teams will be pleased with their efforts.'
Pace spearhead Trent Boult has been omitted from the white-ball squad a few months after being released from his national contract.
England's "Bazball" revolution continued apace on Sunday when the tourists wrapped up a thumping 267-run victory over New Zealand in the opening session of the fourth day of the first Test.
Mohammed Shami's dazzling seven wickets powered India into the World Cup 2023 final.
New Zealand were in trouble at 37 for 3 at stumps in reply to England's declared first innings total of 325 for 9 at Bay Oval, with seven wickets tumbling in a frantic evening session.
New Zealand named a virtually unchanged squad for the upcoming ODI series against India, with the selectors keeping faith in players who drew the recent five-match home assignment against the West Indies.
A Daryl Mitchell century and a brilliant 72 from Matt Henry helped New Zealand to an unlikely first-innings lead of 18 runs before the home bowlers restricted Sri Lanka to 83/3 at the end of the third day.
Spin great Ravichandran Ashwin says New Zealand, despite the absence of the long-serving pace duo of Trent Boult and Tim Southee, who have quit playing the 50-over format, will pose a challenge to India.
New Zealand thrashed reigning champions Australia by 89 runs in a rematch of last year's final
India's Shreyas Iyer smashed a century on his test debut but Tim Southee's lion-hearted bowling and New Zealand's top order left the opening test between the teams evenly poised on Friday.
New Zealand have yet to decide on a replacement for Williamson for the white-ball roles but Latham's record in T20s may count against him if selectors opt for a single captain for both the short-format teams.
South Africa slid to 105 for six on the third day of the second and final test against New Zealand on Monday but were still firmly in command at Centurion, holding a 372-run lead. After bowling the Kiwis out for 214, the hosts did not enforce the follow-on as the pitch is getting more and more difficult for the batsmen. New Zealand's bowlers took six wickets in the last session of the day with only stand-in opener Quinton de Kock (50) offering any resistance as Stephen Cook, Hashim Amla, JP Duminy, captain Faf du Plessis and Stiaan van Zyl went cheaply.
Heavy rain washed out the entire third day's play of the second Test between New Zealand and Bangladesh at Hagley Oval in Christchurch on Sunday.
Fans can expect a wide open tournament in the absence of an overwhelming favourite in the upcoming ICC Champions Trophy.
Victory left New Zealand on 10 points and in pole position to bag the last semi-final spot and join India, South Africa and Australia. Pakistan will now need to beat England by a massive margin to leapfrog New Zealand on net run rate.
India are leading by 32 runs with eight wickets in hand, going into the final day of the title clash.
Their opponents New Zealand, who effectively knocked India out of the World Cup, have reached Jaipur on a chartered flight from Dubai with little time to reflect on their loss to Australia in the title clash.
The opening match of New Zealand's five-week tour of Sri Lanka was ruined by bad weather on Tuesday when the one-off Twenty20 international in Pallekele was abandoned as a no-result.
Given the Indian batting line-up's weakness against swinging deliveries, New Zealand could go in with an all-pace attack with the pitch likely to offer pace and bounce.
Fast bowler Adam Milne won the battle for the final pace bowling spot in New Zealand's cricket World Cup squad named on Thursday.
The Indian-born 29-year-old, New Zealand's top domestic wicket-taker in the past three seasons, replaces all-rounder Mitchell Santner who is still recovering from knee surgery.
Rachin Ravindra, the rising star of New Zealand cricket, has once again showcased his exceptional talent, guiding his team to a dominant position in the first Test against India.
'India in their home conditions are a different beast and they have started unsurprisingly strongly - I see them as favourites to win the competition at this stage, no matter what happens in Dharmsala (on Sunday),' writes Ross Taylor in his column for ICC Media Zone.
New Zealand will enter the World Cup feeling optimistic of finally winning it after four and half decades of trying.
Test cricket will see two players featuring in their 100th game together for only the fourth time when India off-spinner Ravichandran Ashwin and England batter Jonny Bairstow take the field in Dharamsala on Thursday.
'An important piece of carry-on luggage here. The #WTC21 Mace will travel to its new home in style.'