Pakistan, who departed on Saturday, open the tour with the first of three Twenty20 internationals on December 26 before playing two tests and six one-dayers – their last commitment before the February 19 to April 2 World Cup.
Bangladesh, India and Sri Lanka jointly host the mega event.
Alam, a former coach and captain, said New Zealand will be low on morale but tough to beat at home.
"It is true that New Zealand were blanked in Bangladesh (4-0) and in India (5-0) in the one-day series and would be low on confidence, but they will be playing on home ground and would be tough to beat," said Alam.
"The six one-day internationals give us a chance to use a few combinations and get settled before the World Cup.
"We have been playing well so I am sure that we will achieve better results on the New Zealand tour and then in the World Cup."