"I can understand the odd raised eyebrow but we think this is a good compromise," Dykes said.
"Brett's a good bloke and he will give us some more firepower if we make the Champions League.
"It will be this game only. We've made it clear the local players, who have done so well for us, deserve to play in the final."
Lee's recruitment had been discussed with the Otago players and they gave it their endorsement, Dykes said.
Lee, whose Sydney Sixers have had a poor season in Australia, was good friends with Otago import Ryan ten Doeschate.
Otago loses Black Caps Jimmy Neesham and Nathan McCullum for the rest of the Twenty20 competition, so it seems likely Lee's arrival will not push out impressive young fast bowlers Jacob Duffy or James Fuller.
The Volts were the first New Zealand representatives at the Champions League when they were soundly beaten in 2009.
Otago's win over Wellington, and Canterbury's win over Northern, yesterday guaranteed the Volts would host the Twenty20 final on Sunday, January 20.