Kishida gave some key posts to lawmakers loyal to deceased premier Shinzo Abe in Wednesday's reshuffled cabinet, a sign he is not turning his back on proponents of aggressive monetary easing that was a key pillar of Abe's "Abenomics" stimulus policies.
However, as years of ultra-low interest rates strain bank profits and limit scope for further easing, Kishida likely won't chose an advocate of radical stimulus. Instead, he is seen opting for a safe pair of hands who can engineer an orderly exit, if any, from massive stimulus, analysts say.
That leaves former BOJ deputy governor Hiroshi Nakaso and incumbent deputy Masayoshi Amamiya as strong candidates to replace Governor Haruhiko Kuroda when his second, five-year term ends in April, analysts say.
With Finance Minister Shunichi Suzuki having retained his post, many analysts say the cabinet reshuffle won't alter the dominant market view that those two remain closest to the BOJ helm.
"Looking at his personnel decisions, Kishida continues to pay heed to conservatives and proponents of Abe's policies," said Toru Suehiro, chief economist at Daiwa Securities.
"His priority is to strike a balance among ruling party factions. If this trend were to continue, Amamiya or Nakaso will remain top candidates as next BOJ governor," he said.
But there is a small chance, which is increasingly talked about in political and financial circles, that Kishida may choose a dark horse to distance himself from Abenomics, which has failed to produce solid, sustainable growth in the world's third-largest economy.
"Amamiya and Nakaso both served under Kuroda, and so might find it hard to reverse the BOJ's current massive stimulus," said a source familiar with the selection process.
"Someone from outside the BOJ might be better placed to overhaul yield curve control (in the bond market)," the official said, a view echoed by another source close to the administration.
If so, former finance ministry officials are seen as possible candidates. Having ex-finance bureaucrats at the top or deputy posts will help the BOJ work closely with the ministry, which is in charge of debt issuance, to avoid any damaging spike in long-term interest rates, the sources said.
Kuroda is among former finance ministry officials who became BOJ governor with experience in currency diplomacy and tax affairs.
Former top finance ministry bureaucrat Toshiro Muto, who had expertise in budget drafting and was armed with strong ties with politicians, also served as deputy BOJ governor from 2003 to 2008. He informally served as a bridge between the central bank and government on economic policy affairs.
Former top currency diplomat Masatsugu Asakawa, who is currently head of the Asian Development Bank, is considered as among candidates. He has the strong backing of former finance minister Taro Aso who, as vice president of the ruling party, retains strong influence over Kishida's personnel choices.
There is also a chance Kishida could choose a woman to head the BOJ, or to fill one of the two deputy posts opening up in March, to infuse diversity in the male-dominated institution, say two sources with connections to the administration.
Names floated in markets include Yuri Okina, who heads a private think tank and served on several government panels, and former BOJ board member Sayuri Shirai, they said.
While Shirai stressed the benefits of maintaining current easy policy, Okina criticised the BOJ's yield cap policy as causing a "negative spiral" of yen declines in a recent Reuters interview.
Unlike during Abe's rein where reflationist-minded academics influenced choices, the finance ministry is likely to hold huge sway over short-listing candidates given its close relation with Kishida's administration, government officials say.
Crafting of the list will intensify in coming months and be finalised by year-end, with Kishida having the final say in who becomes next governor, they say.
Regardless of who gets the top BOJ post, any exit from its stimulus will be gradual given the need to protect the fragile economy and curb the cost of financing Japan's massive and growing public debt.
"If public anger over rising living costs heightens, Kishida may choose someone more keen to tweak the BOJ's ultra-loose policy" and prevent further yen declines from pushing up import prices, said Izuru Kato, chief economist at Totan Research.
"Even so, Japan's huge public debt leaves BOJ policy under fiscal dominance. Any exit will be an extremely narrow path."
(Reporting by Leika Kihara; Additional reporting by Kantaro Komiya and Tetsushi Kajimoto; Editing by Kim Coghill)
By Leika Kihara