Windies struggled to 219 all-out in its first innings but leg-spinner Bishoo made use of the spin-friendly pitch at Queens Sports Club to claim a fourth five-wicket haul and put the tourists in a position of strength.
Chase's dismissal just after tea to Sikandar Raza, another spin bowler, set off the West Indies collapse.
West Indies will begin their tour with a three-day warm-up game against Zimbabwe A, which begins on October 15 at the Bulawayo Athletic Club.
Bairstow's comments came after he struck a brilliant 141-run knock to help England thump the West Indies by nine wickets to seal a 4-0 win in the five-match ODI series.
Bairstow, who also got a ton in the first match, hit 17 boundaries in his 114-ball innings. Bairstow's innings was the highest ODI score by an England batsman against West Indies.
Mohammed will come in for Jason Holder, who returned home to Barbados to attend the funeral of his uncle, Derrick Garrett, a local sports administrator.
West Indies lost despite their best batting performance of the series, with opener Evin Lewis producing a brilliant 176 from 130 balls before he had to leave on a stretcher, retiring hurt.
Moeen Ali and Jos Buttler launched a stunning counter-attack. The duo added an unbeaten 77 runs in just 48 balls that took England just past the DLS score.
Ali bludgeoned 102 off 57 balls, with seven fours and eight sixes, to get England to 369/9 batting first, their fifth-highest ODI total in the history.
Kraigg Brathwaite was reported during the first Test against England at Edgbaston last month.
Bairstow was 100 not out, reaching three figures on the penultimate ball of the match. Next delivery, Ben Stokes launched a six over long-on to seal the win.
Gayle's innings on Saturday against England during the one-off T20I was a reminder for the cricket fraternity across the world that the 37-year-old Jamaican has lost none of his power at the crease.
In the list of hitting the most number of maximums in T20Is, the sturdy Jamaican is followed by New Zealand’s Brendon McCullum (91 sixes) and Australia’s Shane Watson (83 sixes).
Lewis and Gayle smashed 72 runs off 39 balls for the opening wicket before West Indies lost its momentum. Lewis made 51 off 28 balls and Gayle 40 off 21 balls.
PCB Chairman Najam Sethi informed that Sri Lanka has also confirmed to play a lone T20 international on October 29 in Lahore.
On day three, ultimately the final day, England took control through Anderson's 7-42, the best innings return for the veteran seamer in his 129th test.
The 29-year-old had to undergo a surgery after he broke his right shoulder during an India tour in 2014.
West Indies emerged with a 22-run lead against England after a rain-affected day which kept conditions ideal for the quick bowlers at Lord's.
All-rounder Ben Stokes took 6/22 for England in a sizzling spell of swing bowling to dent West Indies' hopes of a first series win in England since 1988 and the era of Viv Richards.
Nurse has been named as a replacement for leg-spinner Samuel Badree, who was unavailable due to a prior commitment.
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