A full fight card has yet to be released, and it's unclear where the fight will be held.
Per Okamoto, UFC is aiming to resume operations at its Apex facility in Las Vegas. It hopes to host UFC Fight Night: Woodley vs. Burns at the venue on May 30, pending the Nevada State Athletic Commission's ruling on whether to allow combat sports to resume in the state on Wednesday.
According to White, infrastructure is still being built on the island, including an arena and training gym.
Eye (15-7) is coming off a December unanimous-decision victory over Viviane Araujo after her three-fight win streak was snapped in a knockout loss to Valentina Shevchenko at UFC 238 last June.
Calvillo (8-1-1) finished with a draw against Marina Rodriguez in December at UFC on ESPN: Overeem vs. Rozenstruik. It was the first draw of Calvillo's career.
At 32 years old, Calvillo matches up well with the 33-year-old Eye. It remains to be seen who else will be added to the card, but the presence of a main event should help White line up fighters well before the event kicks off.