Cook shared 40 with Morgan before his colleague finished the match in style
England captain Alastair Cook saluted Eoin Morgan's magnificent century which guided the tourists to a two-wicket series clinching win over Bangladesh.
"It got a bit close for our liking but Eoin came in with a fantastic knock and deserved to win the game," he said.
"He was calm under pressure and then dominated in the powerplay - it was a fantastic knock."
The final match is on Friday and Cook added: "We can't let our foot off the gas, we have to try to win 3-0."
Cook made the fastest fifty of the match, firing 60 from 61 balls on the day after he was left out of England's provisional 30-man squad for the forthcoming World Twenty20.
He chose not to dwell on his omission but said of his team's display: "There are always areas to improve but when you chase down 260 on a turning wicket you have to be pleased with yourselves."
Morgan, meanwhile, revealed he was unaware of the moment he reached three figures, due to a combination of subdued home supporters and technical deficiencies in the scorebox.
"I didn't actually know I'd reached a hundred, the scoreboard was a bit slow but I'll take it," he said.
"We stuck to our guns, the plan was to take it to the last over and use the short boundary and it worked well. We're delighted with the win.
"It's about sticking to your plan and knowing your areas, your strengths and being confident with them.
"Treddy (James Tredwell) wasn't nervous at all on his debut. He was very calm, got me on strike and I managed to take advantage."
Bangladesh captain Shakib Al Hasan, who claimed his best figures against England with 3-32, said: "When they lost eight wickets we thought it was our best chance to pick up a win, but Morgan stood tall.
"I thought we batted really well but Morgan played really well according to his plan and full credit to him."