The possibility of a restart next month was given a boost when the UK government said elite sport could return after June 1.
Sources have told ESPN a number of players do not want to play football during the crisis and Sterling said he is also concerned about returning to action.
"I knew it was serious when football got cancelled," Sterling said on his YouTube channel. "I'm not saying football is the most important thing in the world but when a football event or the Premier League gets cancelled then you realise this is massive, this is something I've never seen.
"From the moment we got told we were off I knew this was very serious. I've had friends whose grandma's passed away, I've had family members as well that have passed away. You've got to be wise and take care of yourself and those around you.
"The moment we do go back it just needs to be a moment where it's not just for footballing reasons, it's safe for not just us footballers but the whole medical staff, referees.
"I don't know how that's going to work, but I feel like once that side of the people's safety and the player's safety is secured and their wellbeing is looked after then that's the right time to go back in.
"Until then, I'm...how can I say...not scared but reserved and thinking what the worst outcome could be. At the same time I'm looking forward to it and I really want to get back but hopefully it will all be well when we do get back."
Sterling's club teammate Sergio Aguero has also addressed concerns about returning to action amid the global outbreak. Manchester City manager Pep Guardiola also lost a family member from the coronavirus when his mother Dolors Sala Carrio died in Barcelona last month at the age of 82.
The UK has recorded more than 223,000 cases and over 32,000 deaths from the coronavirus -- the highest number in Europe.