The Clarets held onto their 22-year-old marksman despite a January of uncertainty, in which they rejected a £4m offer from the Merseysiders.
However, Ings could well leave Turf Moor at the end of the season when his contract ends, prompting talk that Liverpool are already plotting a fresh raid.
But, Chelsea and City are now also keen on the England U-21 international.
ESPN claim sources have informed them that the title favourites are both watching Ings ahead of the summer, with boosting their home-grown player quotas an issue for the pair.
Although the forward will be a free agent, Burnley will be eligible for a compensation fee – somewhere between £3m – £5m – for him, due the player being under the age of 24.