The 23-year-old ended the 2012/13 campaign as Gary Bowyer's preferred choice between the sticks, and began the current season in charge of the No.1 spot.
Kean, however, lost his place to Simon Eastwood in December and slipped further down the pecking order following the return to fitness and top form of Paul Robinson.
He is still held in high regard at Ewood Park, and is being tipped for a bright future, but a spell away from Blackburn may be beneficial as he endeavours to get important minutes and experience under his belt.
Bowyer told the Lancashire Telegraph: "We're blessed at the moment to have three goalkeepers really pushing each other to get that No.1 jersey.
"With regards to one of them going out on loan, that is something we would have to assess if there were any enquiries."
On promising duo Kean and Eastwood, the Rovers boss added: "We can't forget the importance Jake played to the team last season when he burst in.
"This season also I remember when he made a hell of a save at home to Leeds United when it was still 0-0, and we won 1-0.
"We're blessed that we've got him. He's still only 22, he's a great size, people rightly say he's still a young age to be a goalkeeper playing first team football.
"He's a big asset to Blackburn Rovers and he provides competition for Robbo and Easty.
"Easty signed in the summer as a No.3 but he's worked tremendously hard and pushed on and he's played his part this season.
"You only have to look at the save he made at QPR to get us a point, and who knows how important that point could be come the end of the season."