Fast bowlers Steven Finn and Jake Ball, along with leg-spinner Adil Rashid, are likely to be the candidates to fill the vacant spot.
"(Stokes) is a big player for us, he adds a lot of spark to the team. He bats, bowls and he's a leader in the field so it is a bit of a hole," Bayliss told British media.
"But someone like Chris Woakes has done brilliantly so far this season so we are lucky in that aspect."
James Vince has averaged only 18.57 in his five tests and questions are being raised over his place in the squad. Bayliss urged for patience with the 25-year-old.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
"I don't see any reason to panic at the moment," Bayliss said. "But as I said after the last game, runs will count. It doesn't matter what you look like getting them... it gets down to how many runs and how many wickets.
"I'd like to see people given a little bit more of an extra go rather than one (game). If there's someone else who warrants a place to replace a player like that... I'm sure it will be discussed."
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Sudipto Ganguly)
