"Bresnan will not be replaced in the squad for the match providing there are no concerns over the fitness of bowlers currently playing in the final match of the ODI series," the ECB said in a statement.
The injury is not thought to be serious and the 29-year-old Bresnan, a member of England's team who won the ICC World Twenty20 in 2010, could return to action for his county Yorkshire next week.
Bresnan did not play in the 50-over series against India as the world's best-ranked ODI and Twenty20 team ruthlessly exposed England's one-day deficiencies in a 3-1 win.
(Reporting by Tom Hayward, editing by Ed Osmond)
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