In response to Hasina's request, Kerry said that the US was considering the request.
"I understand your sensitivity, the issue is under review," Kerry said on Monday.
On August 15, 1975, a group of junior army officers invaded the presidential residence with tanks and killed Mujib, his family and personal staff.Only his daughters Sheikh Hasina Wajed and Sheikh Rehana, who were visiting West Germany, escaped.
At least one of Bangabandhu's fugitive killers, Rashed Chowdhury, is believed to be now living in the US.
Recently, Home Minister Asaduzzaman Khan Kamal said that he has learnt that death-row convict Rashed's current location was in the US.
Law Minister Anisul Huq also confirmed that Rashed was now living in the US.
The main legal effort of extradition from the US is being carried out by reputed New York-based law firm Skadden for the past two years.