Broad was careful to avoid placing undue expectations on Trott's possible return to the international area, following reports on Wednesday that the 32-year-old batsman is on course to resume playing for Warwickshire at the start of April.
Trott, who had to leave England's Ashes tour last November with a stress-related illness after just one Test match, is reportedly hoping to be back for the Bears in a two-day friendly match against neighbours Gloucestershire at Edgbaston.
"It's great to hear that Trotty is going to pick up a bat again," said Broad, currently on tour as England limited-overs captain in Antigua.
He is mindful of expecting too much too soon, however.
"I think the thing for him is not to put too much pressure on himself," he added.
"I think it's way too early to talk about playing for England again.
"He's got to take it one step at a time and just enjoy getting the bat back in his hand, training and getting the processes right to eventually get his England shirt back."
Trott has been a cornerstone of England's batting, at number three, in Tests and one-day internationals for much of the past four years.
But Broad added: "I think from my point of view I'm not going to stand here and apply more pressure on him by saying we're desperate for him to play for England again.
"We know the high quality player he is, but it's about the processes of getting him back to where he wants to be."