Coach Ashley Giles hopes the injection Broad had to treat his patella tendinitis will ensure he recovers in time for England's campaign in Bangladesh.
The 27-year-old limped out of England's ongoing Twenty20 series against West Indies after the first match of three, handing the captaincy duties to Eoin Morgan.
The Irishman is also among England's walking wounded, although his and opener Michael Lumb's knee problems are not - like Broad's - of the chronic variety.
Giles reported that Lumb and wicketkeeper Jos Buttler, who hurt his hand as England conceded the series with a second successive defeat at the Kensington Oval on Tuesday, should both be fit for the final match of three at the same venue on Thursday.
It was announced last weekend that Broad, who remains on tour, will not play again until England's warm-up campaign in Bangladesh at the earliest.
Giles' latest update appeared equivocal on the captain's prospects.
"Broady is a bit more of a worry," he said.
"He's got stuff going on in his knee, and we've got to manage him.
"Until we get to Bangladesh, and the first couple of games there, we won't really know.
"But we're confident."
As for a longer-term prognosis, Broad himself has already mentioned the prospect of surgery on an injury which has long troubled him.
He has had several previous injections in the joint, but Giles believes the latest one should be a short-term fix at least.
"You hope so. They tend to do the job," he said.
"In the long term, you have to look at different options.
"But I think he'll be fine for Bangladesh."
- Sports & Recreation
- Michael Lumb