Kubo has started just two LaLiga games for Villarreal since joining on a season-long deal from Madrid in August and was not part of the squad for Saturday's 2-1 win over Levante.
Getafe president Angel Torres revealed his side's interest in the Japan international this week and reports from Spain suggest the Madrid-based club are close to striking a deal.
Speaking after his side's victory against Levante, which moved Villarreal up to fourth, Emery admitted it is likely the winger will move on.
"I asked Kubo if he wanted to stay or leave [Villarreal] and he told me that he is looking for a way out," he said at his post-match news conference.
"Take's behaviour is good, he has helped us and he must continue to grow as a player.
"However, he told me he wants to leave in order to find more minutes elsewhere and that's why he wasn't in the matchday squad today."
Kubo was snapped up by Madrid from FC Tokyo in 2019 and spent last season on loan with Real Mallorca, where he enjoyed more success than his current spell with Villarreal.
He scored four and assisted four more in 35 appearances but was unable to save Mallorca from relegation in their first season back in the top tier.
The 19-year-old has been used 19 times in total by Villarreal this season, 13 of those appearances coming in LaLiga.
However, Kubo has failed score from his eight shots, five of which were on target, and has yet to assist a team-mate or so much as play a successful cross from open play.
Atletico Madrid moved level on points with Barcelona at the LaLiga summit after beating Getafe, courtesy of Alexander Sorloth's header.
That bond will not sway Barca's off-season plans, though.
The Spanish giants have reportedly turned their eyes to a younger option.
TOP STORY – BARCELONA PREFER HAALAND TO MESSI STAY
Barcelona are so desperate to lure Erling Haaland to Camp Nou that they would be willing to let superstar captain Lionel Messi walk away if they can sign the Borussia Dortmund star, according to The Sun.
Barca's financial situation would make it difficult to pay both players, and the report claims Messi might see his wages cut in half if he stays with the LaLiga powerhouse amid links to Paris Saint-Germain and Manchester City.
Numerous clubs are circling for Haaland, including City, Manchester United, Real Madrid, Chelsea, PSG, Liverpool, Bayern Munich and Juventus.
ROUND-UP
- Marca says Raulis favourite to take over as Madrid head coach next season if Zinedine Zidaneleaves. Madrid great Raul is chasing promotion with the club's Castilla side.
- Barcaare set to complete the double free transfers of City star Sergio Aguero and Lyon captain Memphis Depay, according to Sport.
- Arsenal and Martin Odegaard have a mutual interest in extending the Norway international's loan stay at the Premier League, according to Football London. He has two goals in 18 appearances in all competitions since arriving on loan from Madrid.
- Diario AS reports PSG are set to swoop in for Sergio Ramos by offering the Madrid captain and soon-to-be free agent a two-year contract. Ramos has also been linked to United.
- Though Juventus may be facing an exodus if they miss out on Champions League football next season, the Bianconeri are interested in Milan midfielder Hakan Calhanoglu, says Calciomercato.
- United may shore up their midfield with a bid for Getafe's Mauro Arambarri, Diario AS reports. The 25-year-old is under contract through 2023. The Mirror, meanwhile, says United remain keen on Atletico Madrid star Marcos Llorente.
- Atletico are interested in Liverpool midfielder Naby Keita, claims the Daily Star. Keita has struggled for form and fitness since moving to Anfield from RB Leipzig in 2018.