Pope damaged his left shoulder after sliding to save a boundary on Day 4 of the third Test.
Sadly for Pope, it is the same shoulder he dislocated last year while playing for Surrey at the domestic level.
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He left the field after the incident in the second over of the second innings, with James Bracey playing substitute to the 22-year-old throughout the rest of the day.
"He has obviously banged his shoulder again, so he will go for a scan on that, and we will assess from there, really," ESPNcricinfo quoted England's head coach Chris Silverwood as saying. "We will know more once he's had a scan."
Following-on after being dismissed for 273 in the first-innings, which they reached only because of gutsy efforts from skipper Azhar Ali (141) and wicketkeeper batsman Mohammad Rizwan (53), the visitors made 100/2 until stumps, with openers Abid Ali (42), Shan Masood (18) dismissed and Azhar (29*) and Babar Azam (4*) not out overnight.
England made an impregnable total of 583/8 (declared) on the back of a memorable double ton (267) from Zak Crawley and century (152) from Jos Buttler.
A job well finished on Day 5 will help the home team seal the three-match series 2-0 and earn crucial World Test Championship points.