The Rovers manager believes a total of 35 points is a realistic possibility for his side, who face Norwich City at Ewood Park on Saturday, before taking on Tottenham, Wigan and Chelsea.
He said: "I think we need seven points, and I think our next game against Norwich is a massive game. If we can beat Norwich, then we've got to go to Tottenham and try to get something.
"We can go away from home with confidence because we went to Anfield and got a point, Old Trafford and got three points, Goodison and got a point. So there's no reason why we can't go to White Hart Lane or Stamford Bridge and get something.
"We want it to be more, but seven is very realistic and I think that will be enough."
Kean also praised the support of his fellow managers within the LMA, in the wake of well-documented protests from some Blackburn fans.
He said: "There was a point when we played Bolton, and the atmosphere wasn't fantastic inside the ground. David Moyes and a number of other managers left and then contacted me for support.
"The togetherness within the LMA of all the managers across all division is very strong, and it's a very good organisation in which managers look out for each other, and that's been important for me this season."
Watch the full video below for an in-depth look at Steve Kean's coaching philospohy and his view on the club's changing playing personnel.