New Zealand Cricket chief executive said trips to the Caribbean scheduled for June-July were "most unlikely", while there were "obvious question marks" about touring Bangladesh in August.
Cricket West Indies have offered to host not just their series against England but also the England-Pakistan Test series in the Caribbean.
Though West Indies are reigning World T20 champions it was their first series win in the format in more than a year.
Angelo Mathews took four wickets for Sri Lanka as they beat West Indies by six runs to win the series 3-0.
Sri Lanka announced the 15-member squad for the T20I series against West Indies.
Sri Lanka thrashed West Indies by 161 runs to take an unassailable 2-0 lead in the three-match ODI series.
Women's T20 World Cup: Pakistan comfortably chased down the 125-run target set by West Indies with eight wickets and 10 deliveries to spare.
Wanindu Hasaranga's unbeaten knock helped Sri Lanka chase a stiff 290-run target set by the West Indies in the final over for a narrow one-wicket win in the first ODI.
Darren Sammy will be given honourary citizenship of Pakistan by President Arif Alvi on March 23.
Oshane Thomas' agent said that the Jamaican pacer was "at home resting" after he was discharged following treatment and scans.
Lendl Simmons scored 91 off just 40 balls as the West Indies routed Ireland by nine wickets. The three-match series T20I series ended 1-1.
Kieron Pollard produced the best bowling spell by a West Indian in T20I cricket before rain forced the second match of a three-game series against Ireland to be abandoned.
Ireland held their nerve in a nail-biting final over to pull off a four-run win over world champions West Indies.
Chris Gayle has swatted away talk of his retirement from cricket soon, suggesting he wants to be at the crease for at least five more years.
Nicholas Pooran top-scored for the West Indies with 52 while Hayden Walsh Jr's knock of 46 saw them beat Ireland and take a 2-0 series lead.
After dismissing Ireland for just 180, the West Indies reached their target with 100 balls to spare.
The on-field umpires will not call any front foot no balls unless instructed by the third umpire, but will remain responsible for other on-field decisions in the usual way.