Brookfield's revision comes as the investment firm tries to beat a rival bid from Pembina Pipeline Corp, which has been recommended by Inter's board.
Pembina has an all-stock bid of about C$8.3 billion ($6.71 billion), while Brookfield had offered C$8.48 billion with 74% cash.
On Friday, Brookfield said Inter shareholders may now elect to get C$19.50 in all cash per Inter share, or 0.225 of Brookfield's class A share, valued at C$19.99 per Inter share as of Thursday's close.
Brookfield also said it was prepared to raise its offer by up to C$0.901 per Inter share, to C$20.401 per Inter share, pending the outcome of its challenge before the Alberta securities regulator.
The company last week filed an application with the regulator to do away with Inter's C$350 million termination fee to Pembina, saying it would increase its takeover offer for Inter if the fee was reduced or eliminated.
($1 = 1.2363 Canadian dollars)
(Reporting by Arathy S Nair in Bengaluru; Editing by Devika Syamnath)