The in-form opening batsman has been ruled out of England's match against Afghanistan at Old Trafford on Tuesday and their pool encounter with Sri Lanka at Headingley on Friday.
Holder's side fell victim to the second highest run chase in World Cup history as Bangladesh reached 322-3 with 8.3 overs to spare at Taunton.
Mashrafe Mortaza's side remain in with a chance of reaching the semifinals after their second win in five matches.
Sarfaraz Ahmed's side were no match India, who cruised to an 89-run win via the DLS method in Sunday's World Cup clash in Manchester.
An 89-run defeat by arch rivals India in Manchester on Sunday has left Pakistan's hopes of qualifying for the semi-finals hanging by a thread, with only minnows Afghanistan below them in the 10-team table.
Both the West Indies and Bangladesh have won one of their four group matches, with two defeats and one no result apiece.
As for Morgan's condition, the ECB said he had undergone a scan at the weekend and received further treatment.
Kumar opened the bowling for India in Pakistan's initial chase of 337, but could only manage 2.4 overs before leaving the Old Trafford field due to a hamstring problem.
Sharma's 140 was the centrepiece of a total of 336-5 that also featured captain Virat Kohli's 77.
Level on three points after four games apiece, the West Indies and Bangladesh meet at Taunton hoping to deliver a potentially fatal blow to their rivals' chances of progression.
The 30-year-old reached the landmark in his 222nd innings, surpassing Indian legend Sachin Tendulkar, who crossed the 11,000-run mark in 276 innings.
Pakistan have the better record overall, winning 73 matches to India's 54, but at the World Cup it is a different story.
The left-arm quick was officially warned by Australian umpire Bruce Oxenford in the third and fifth overs of Sunday's match.
Faf du Plessis's side endured a torrid start to their campaign, losing their first three matches before a no result against the West Indies.
Australian captain Finch equalled his career-best ODI score with a masterful 153 while Starc took 4-55 in 10 overs.