The Cabinet Office said the right to vote in UK elections for Commonwealth citizens who live in the country "reflects our close historical ties with Commonwealth countries."
A Cabinet Office spokesman said: "Excluding Commonwealth citizens would be a significant step and would require careful consideration.
"Parliament has previously taken the view that these rights should not be changed."
More top news
The broadcast figure-turned activist died on Monday at her Los Angeles home from metastatic breast cancer, her family said.
Warm with some wet weather
Melissa Mead has been campaigning to raise awareness of sepsis after losing her one-year-old son William to the illness.