The phrase "already very busy" is correct and usable in written English.
You can use it to describe someone who is currently occupied with tasks or responsibilities, indicating that they have little to no free time.
Example: "I can't take on any more projects right now because I'm already very busy with my current workload."
Alternatives: "currently quite occupied" or "already quite swamped".
"Eurostar services tomorrow are already very busy and availability is limited.
"Introducing dual pricing would cause some confusion at the till point which would slow down already very busy stores.
He added that The Guardian was "very much a new, marginal entrant into an already very busy, very fragmented U.S. media market".
Although the dorms feline residents require constant attention from their already very busy owners, the students seem to agree that their cats companionship is well worth the effort.
Despite the damp weather it's already very busy on site, as Edinburgh's bibliophiles make the most of the festival's last few days.
"East Coast is particularly sorry, too, for the inconvenience to its customers as a result on what we know is an already very busy travel day immediately following the Christmas break.
"Because May is already looking very busy". He gives her the options for a visit with guided tour: €25 (£20) with lunch and €12 without.
Kriske acknowledged that the early closure of North San Fernando Boulevard would increase congestion on exits that already are very busy, including Hollywood Way, Buena Vista Street and Burbank Boulevard.
Most people think that being a mentor requires a lot of time and don't want to do it because they already have very busy lives.
Whether or not you feel this issue is pertinent, please do not dismiss the tireless efforts of people who already have very busy lives, and out of concern for their family's safety, find themselves making and passing out fliers, knocking on doors, gathering signatures, and researching information that should have been disclosed to all the citizens of Burbank before the January vote.
Some of the GPs felt uneasy accepting more patients, as they already had very busy practices.
