Blackburn had United striker Mame Biram Diouf on loan last season.
“I had a chat with Sir Alex after Paul Scholes’ testimonial about a couple of players and that is ongoing,” said Kean.
“I don’t want to name names because I want to be respectful of Manchester United and Sir Alex.
“We have a good relationship and hopefully we can keep going so that, if we do want a player on loan, he will be sympathetic.
“I don’t know how much money is actually available because we’re trying to structure our debt.”