England were beaten by seven wickets in Bangladesh as their preparations for the World Twenty20 suffered a setback.
Morgan and his teammates made 131 with no wickets remaining before the West Indies reached their target with just under four overs left.
"We never put ourselves in a position to take their bowling on," he told BBC Sport. "We found it a bit of a stuttering innings today.
"We were a bit short of par and given the start the West Indies got we were staring down the barrel a little bit. It was just tough to get going."
England get their World Twenty20 campaign underway on Saturday against New Zealand in Chittagong.