"Top six batsmen should never get run out," Vettori said. "It's the waste of a dismissal for the sake of one run.
"If those guys can stay there as long as possible, they'll make up that single at some stage. It's not something we want to continue because it could cost us an important game.
"At different times throughout an innings there are pressure situations where running becomes more difficult," Vettori said. "But when we're in a good position with Kane and Ross playing as well as they were, it's probably not the thing that needs to be done at that stage."
Vettori's comments were made in the wider context of a series victory but hinted at a desire to stay focused in what is becoming a period of unprecedented ODI success. It has led to high expectations about the team's capabilities when the World Cup starts on February 14.
"Everyone wants to see what you can come up with when you're under pressure. I think we saw that in abundance in the Dunedin matches," Vettori said.
"The wicket was tricky early on and Sri Lanka bowled well. For Kane and Ross to get us a score, sticking to a game plan batting through the middle stages to set things up for Corey and Luke; that's satisfying."
The new record holder for New Zealand ODI appearances, who celebrates his 36th birthday today, said the World Cup build-up was perfect for spinners such as himself, Nathan McCullum and Williamson.
He reflected on Sunday's performance where he finished with figures of none for 22 from eight overs and contained Kumar Sangakkara and Mahela Jayawardene, two of the world's most spin-savvy batsmen.
Vettori has an economy rate of 3.67 in 28 overs across three matches this series, second to Matt Henry's 3.51 from one bowling appearance.
"To contain batsmen of that quality is always pleasing," Vettori said. "They don't look to be as destructive as other players, but they'll slowly kill you. They have the ability to put the bad ball away and can make a good ball sail over the boundary, particularly Sanga[kkara]. As a left-arm spinner, bowling to him [as a left-hander] is a real challenge."
The former New Zealand captain said his fitness remains strong after troubles with an Achilles tendon over the past couple of years.
"The main concern was to get through games of cricket but I've had almost four months non-stop where I've played a lot of games and bowled a lot of overs and there haven't been any niggles. Obviously there's still a fair amount to go, including the World Cup, but I'm confident I can get through those games."
Caught Short
New Zealand run outs at previous World Cups
2011 - 0 in 8 matches
2007 - 2 in 10 matches
2003 - 2 in 8 matches
1999 - 2 in 9 matches
1996 - 6 in 6 matches
1992 - 6 in 9 matches
1987 - 10 in 6 matches
1983 - 5 in 6 matches
1979 - 4 in 4 matches
1975 - 1 in 4 matches
