He offers New Zealand a third spin option against England - alongside Mitchell Santner and Todd Astle - in an otherwise unchanged squad from the one that played Pakistan.
The concern is Santner and Astle have recently missed games though injury, so contingency plans are required.
This month's T20 debutants Tim Seifert and Mark Chapman will not remain in the ODI set-up.
"Having won the previous eight [ODI] matches [this summer], we've been able to keep good consistency," selector Gavin Larsen said.
"We still have a number of guys pushing their case in domestic cricket."
Sodhi picked up one for 21 from four overs as the best of the New Zealand bowlers in last night's T20 tri-series loss to Australia at Eden Park.
He could take solace in knocking back the top of Australian captain David Warner's off stump for 25 off 23 balls. Sodhi secured five wickets at a strike rate of 23 and economy rate of 8.42 across the tournament.
Warner rates him as an opponent.
"He has a height advantage like Dan Vettori, and it helps him mix up his lengths.
"His variations are spot on as a left-hander. You're always thinking about when he might bowl a wrong 'un."
Sodhi has taken seven wickets at an average of 25.57, strike rate of 32 and economy rate of 4.81 in four Ford Trophy List A appearances this season.
New Zealand head to Hamilton today ahead of their first match against England on Sunday at Seddon Park.
New Zealand ODI squad
Kane Williamson (c) - Northern Districts
Todd Astle - Canterbury
Trent Boult - Northern Districts
Lockie Ferguson - Auckland
Colin de Grandhomme - Auckland
Martin Guptill - Auckland
Matt Henry - Canterbury
Tom Latham - Canterbury
Colin Munro - Auckland
Henry Nicholls - Canterbury
Mitchell Santner - Northern Districts
Ish Sodhi – Northern Districts
Tim Southee - Northern Districts
Ross Taylor - Central Districts
