Archer, who is Barbados-born but has a British passport, will be available for England’s home season this year, in keeping with the England and Wales Cricket Board's new residency qualification period that was reduced from seven years to three.
Archer is unlikely to have had sufficient time to press his case for selection by the 23 April deadline for naming the provisional World Cup squad, but there is time to tweak it before England open the tournament against South Africa at the Oval on 30 May.
"We've got to have the squad in by April 23, but there's a month after that to change it," Bayliss told Sky Sports after England’s defeat in the fifth ODI against West Indies. "There's the Pakistan series before then, so we'll have discussions about whether he plays, because the absolute final date [for naming the World Cup squad] is May 22.
"We'd like it [the initial squad] to be as close as it can be [to the final 15], but we could try someone like Jofra in those matches and make a decision one way or another.”
Archer, if picked, would be another addition to an England squad packed with all-rounders. However, there is room for his inclusion, with concerns surrounding Liam Plunkett, who is battling poor fitness and a drop in pace. Tom Curran, who bagged a pair of ducks in the two matches he played in the Caribbean, and leaked runs with the ball, could also face competition from Archer.
The series showcased the best and worst of the England one-day outfit as they switched between dominant and hapless. Their defeat in St Lucia now means that they could concede their No. 1 spot on the MRF Tyres ICC ODI Team Rankings table depending on how India fare against Australia.
Bayliss rued their inability to adapt to the bounce in Gros Islet, but was relieved at the minimal prospect of facing such tracks at home during the World Cup. "It was a poor performance. There were some woeful shots, and obviously after that, we were never in the game,” he said.
"We still haven't adapted, we didn't adapt at all. We found during the Test series that the bouncier wickets were our Achilles' heel. We don't often get to play on too many bouncy wickets in England, and it's certainly not a strength of ours.
"With 200 on the board, we'd have been right in the game. We needed a couple of guys to get their heads down, whether that meant letting balls go for 10-15 overs and building a partnership. We could have got there, but we kept on making the same mistakes.
"It's the good and the bad. And the gulf between our good times and our bad matches was huge. But in a couple of games [in this series] we've come out on top and played well under pressure, so a bit more of that is what we need."