From the wikipedia
Following the Indian Mutiny in 1857, the British government took
direct control of British India. Since 1851, gold sovereigns were
produced en masse at the Royal Mint in Sydney, New South Wales. In an
1864 attempt to make the British gold sovereign the "imperial coin",
the treasuries in Bombay and Calcutta were instructed to receive gold
sovereigns; however, these gold sovereigns never left the vaults. As
the British government gave up hope of replacing the rupee in India
with the pound sterling, it realised for the same reason it could not
replace the silver dollar in the Straits Settlements with the Indian
rupee (as the British East India Company had desired).
There are some sources listed in the wikipedia article that I have cited above. If this is true then it seems that they did attempt but failed.