The England U21 international's loan is due to expire.
"I would definitely be interested in staying," Keane told the Sunday Mirror. "Obviously, we will have to wait and see what United think.
"It will also be important to see if I am playing games because that is the most important thing for me.
"But I have enjoyed myself here and if that is still the case and I keep playing football then I would love to stay.
"There is a really positive atmosphere here with all the good results and so much talent in the squad that it is a pleasure to be part of."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball