The tourists' skipper will not field for the remainder of England's first innings and won't bat in West Indies first innings, a team spokesman told reporters here Saturday.
Sarwan injured his right shoulder while falling heavily over a boundary rope as he tried to prevent a four on the first day's play here Friday.
He was subsequently taken to hospital for a scan. Although the shoulder is not dislocated, Sarwan has sustained a severe injury near his collarbone.
The spokesman said more scan results were required before deciding if batsman Sarwan could take any further part in this match.
West Indies, who drew the first Test of this four-match series at Lord's, were already without one of their senior batsmen for this encounter when experienced left-hander Shivnarine Chanderpaul dropped out of the side before the Headingley clash got underway with tendonitis in his right knee.
England will resume the second day's play here Saturday on 366 for five in their first innings.
Kevin Pietersen is 130 not out after England captain Michael Vaughan made 103 in his first Test for 18 months, having been out with several injuries.