The Australian midfielder was substituted at half-time of Saturday's 2-1 loss to Wolves at Ewood Park and initially it was feared he may sidelined for some time.
But Kean is hopeful that the problem is only minor and has indicated that Emerton could be back in a fortnight.
"I think it will be nine or 10 days if it's a grade one hamstring. You never know, it might settle down," Kean told the Lancashire Telegraph.
Emerton is almost certain to miss out on Blackburn's trip to Aston Villa this weekend and is also in doubt for next week's Carling Cup clash with Sheffield Wednesday and the August 27 meeting with Tim Cahill's Everton.