Underhill, who came on as a replacement in England's 25-13 Six Nations loss to Scotland last month, ruptured a tendon during a training session with the national squad when a team mate trod on his foot.
"He's essentially ruled out for the rest of the season," Bath director of rugby Todd Blackadder told BBC Radio.
The 21-year-old Underhill made his England debut against Argentina last year.
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.
(Reporting by Ed Osmond; Editing by Toby Davis)
