The West Indies need one victory from their remaining two league matches against Bangladesh and Sri Lanka to qualify for the main draw. They have already beaten Zimbabwe in their opening game at Ahmedabad on Sunday.
Sri Lanka, with two wins from as many games, have already advanced to the next round to join world champions Australia, India, England, South Africa, New Zealand and Pakistan.
The West Indies made one change from the side that played the last match, with fast bowler Corey Collymore coming in place of Dwayne Smith who was suffering from a viral infection.
Bangladesh retained the team that lost to Sri Lanka at Mohali on Saturday.
Bangla off to a fine start: Aftab Ahmed's fireworks (31 off 24 balls, 4X4, 6X2) provided a flying start for Bangladesh against Windies in the ICC Champions Trophy qualifier played here at Sawai Mansingh stadium.
Bangla were 60 for 1 in 13 overs with Aftab and Shahriar Nafees (21) at the crease
Aftab nicknamed 'Pocket Dynamo' took to the Windies bowling from the go and played some eye catching shots round the park.
Earlier Jerome Taylor got the early breakthrough for Windies when he trapped struggling Md Ashraful (2) plumb infront.
Bangladesh: Habibul Bashar (capt), Shahriar Nafees, Mohammad Ashraful, Aftab Ahmed, Saqibul Hasan, Farhad Reza, Khaled Mashud (wk), Mohammad Rafique, Mashrafe Mortaza, Abdur Razzak, Syed Rasel.
West Indies: Brian Lara (capt), Ramnaresh Sarwan, Chris Gayle, Shivnarine Chanderpaul, Dwayne Bravo, Wavell Hinds, Marlon Samuels, Carlton Baugh (wk), Corey Collymore, Ian Bradshaw, Jerome Taylor.
Umpires: Billy Bowden (NZ) and Simon Taufel (AUS)
TV umpire: Steve Bucknor (WI)
Match referee: Ranjan Madugalle (SL)